11523264 has 28 divisors (see below), whose sum is σ = 30489144. Its totient is φ = 3841024.

The previous prime is 11523247. The next prime is 11523271. The reversal of 11523264 is 46232511.

11523264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11523264² = 265571226427392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29817 + ... + 30200.

It is an arithmetic number, because the mean of its divisors is an integer number (1088898).

Almost surely, 2^11523264 is an apocalyptic number.

It is an amenable number.

11523264 is an abundant number, since it is smaller than the sum of its proper divisors (18965880).

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

11523264 is an equidigital number, since it uses as much as digits as its factorization.

11523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60032 (or 60022 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 11523264 is about 3394.5933482525. The cubic root of 11523264 is about 225.8699750672.

Adding to 11523264 its reverse (46232511), we get a palindrome (57755775).

The spelling of 11523264 in words is "eleven million, five hundred twenty-three thousand, two hundred sixty-four".