11545264 has 40 divisors (see below), whose sum is σ = 23614560. Its totient is φ = 5457408.

The previous prime is 11545249. The next prime is 11545267. The reversal of 11545264 is 46254511.

It is not an unprimeable number, because it can be changed into a prime (11545267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50302 + ... + 50530.

It is an arithmetic number, because the mean of its divisors is an integer number (590364).

Almost surely, 2^11545264 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 11545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807280).

11545264 is an abundant number, since it is smaller than the sum of its proper divisors (12069296).

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

11545264 is a wasteful number, since it uses less digits than its factorization.

11545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 11545264 is about 3397.8322501265. The cubic root of 11545264 is about 226.0136259307.

Adding to 11545264 its reverse (46254511), we get a palindrome (57799775).

The spelling of 11545264 in words is "eleven million, five hundred forty-five thousand, two hundred sixty-four".