11572864 has 32 divisors (see below), whose sum is σ = 24063840. Its totient is φ = 5533440.

The previous prime is 11572861. The next prime is 11572867. The reversal of 11572864 is 46827511.

11572864 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (11572861) and next prime (11572867).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11572861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 979 + ... + 4909.

It is an arithmetic number, because the mean of its divisors is an integer number (751995).

Almost surely, 2^11572864 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 11572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031920).

11572864 is an abundant number, since it is smaller than the sum of its proper divisors (12490976).

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

11572864 is an equidigital number, since it uses as much as digits as its factorization.

11572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3956 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 11572864 is about 3401.8912387083. The cubic root of 11572864 is about 226.1935846235.

The spelling of 11572864 in words is "eleven million, five hundred seventy-two thousand, eight hundred sixty-four".