11553088 has 28 divisors (see below), whose sum is σ = 23174452. Its totient is φ = 5713920.

The previous prime is 11553079. The next prime is 11553089. The reversal of 11553088 is 88035511.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 9935104 = 1272^2 + 3152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5278 + ... + 7138.

It is an arithmetic number, because the mean of its divisors is an integer number (827659).

Almost surely, 2^11553088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587226).

11553088 is an abundant number, since it is smaller than the sum of its proper divisors (11621364).

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

11553088 is an equidigital number, since it uses as much as digits as its factorization.

11553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 11553088 is about 3398.9833774233. The cubic root of 11553088 is about 226.0646694093.

Adding to 11553088 its reverse (88035511), we get a palindrome (99588599).

The spelling of 11553088 in words is "eleven million, five hundred fifty-three thousand, eighty-eight".