11157264 has 50 divisors (see below), whose sum is σ = 32296110. Its totient is φ = 3718656.

The previous prime is 11157259. The next prime is 11157319. The reversal of 11157264 is 46275111.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 2862864 = 2880^2 + 1692^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3009 + ... + 5600.

Almost surely, 2^11157264 is an apocalyptic number.

It is an amenable number.

11157264 is an abundant number, since it is smaller than the sum of its proper divisors (21138846).

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

11157264 is an equidigital number, since it uses as much as digits as its factorization.

11157264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8614 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11157264 is about 3340.2490925079. The cubic root of 11157264 is about 223.4528525386.

It can be divided in two parts, 111 and 57264, that added together give a palindrome (57375).

The spelling of 11157264 in words is "eleven million, one hundred fifty-seven thousand, two hundred sixty-four".