11556864 has 192 divisors, whose sum is σ = 39312000. Its totient is φ = 3317760.

The previous prime is 11556859. The next prime is 11556907. The reversal of 11556864 is 46865511.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11556864² = 267122211028992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608247 + ... + 608265.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^11556864 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 11556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

11556864 is an abundant number, since it is smaller than the sum of its proper divisors (27755136).

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

11556864 is a wasteful number, since it uses less digits than its factorization.

11556864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 11556864 is about 3399.5387922481. The cubic root of 11556864 is about 226.0892956451.

The spelling of 11556864 in words is "eleven million, five hundred fifty-six thousand, eight hundred sixty-four".