11535264 has 144 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 3504384.

The previous prime is 11535247. The next prime is 11535269. The reversal of 11535264 is 46253511.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (11535269) 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 23 ways as a sum of consecutive naturals, for example, 145977 + ... + 146055.

It is an arithmetic number, because the mean of its divisors is an integer number (256200).

Almost surely, 2^11535264 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 11535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446400).

11535264 is an abundant number, since it is smaller than the sum of its proper divisors (25357536).

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

11535264 is a wasteful number, since it uses less digits than its factorization.

11535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 11535264 is about 3396.3604049040. The cubic root of 11535264 is about 225.9483527267.

Adding to 11535264 its reverse (46253511), we get a palindrome (57788775).

The spelling of 11535264 in words is "eleven million, five hundred thirty-five thousand, two hundred sixty-four".