11088 has 60 divisors (see below), whose sum is σ = 38688. Its totient is φ = 2880.

The previous prime is 11087. The next prime is 11093. The reversal of 11088 is 88011.

It is a happy number.

11088 is nontrivially palindromic in base 5 and base 15.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 7 and base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003 + ... + 1013.

2^{11088} is an apocalyptic number.

11088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344).

11088 is an abundant number, since it is smaller than the sum of its proper divisors (27600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11088 is a wasteful number, since it uses less digits than its factorization.

11088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11088 is about 105.2995726487. The cubic root of 11088 is about 22.2989495909.

11088 divided by its sum of digits (18) gives a palindrome (616).

Adding to 11088 its reverse (88011), we get a palindrome (99099).

It can be divided in two parts, 1 and 1088, that added together give a square (1089 = 33^{2}).

The spelling of 11088 in words is "eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088

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