11533264 has 10 divisors (see below), whose sum is σ = 22345730. Its totient is φ = 5766624.

The previous prime is 11533253. The next prime is 11533273. The reversal of 11533264 is 46233511.

11533264 = 298² + 299² + ... + 393².

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 1420864 = 3180^2 + 1192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 360399 + ... + 360430.

It is an arithmetic number, because the mean of its divisors is an integer number (2234573).

Almost surely, 2^11533264 is an apocalyptic number.

It is an amenable number.

11533264 is a deficient number, since it is larger than the sum of its proper divisors (10812466).

11533264 is an equidigital number, since it uses as much as digits as its factorization.

11533264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720837 (or 720831 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 11533264 is about 3396.0659593123. The cubic root of 11533264 is about 225.9352935595.

Adding to 11533264 its reverse (46233511), we get a palindrome (57766775).

The spelling of 11533264 in words is "eleven million, five hundred thirty-three thousand, two hundred sixty-four".