11568864 has 48 divisors (see below), whose sum is σ = 31198608. Its totient is φ = 3750912.

The previous prime is 11568829. The next prime is 11568871. The reversal of 11568864 is 46886511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11568864² = 267677228500992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1924 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (649971).

Almost surely, 2^11568864 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 11568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599304).

11568864 is an abundant number, since it is smaller than the sum of its proper divisors (19629744).

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

11568864 is a wasteful number, since it uses less digits than its factorization.

11568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3299 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 11568864 is about 3401.3032796268. The cubic root of 11568864 is about 226.1675213949.

The spelling of 11568864 in words is "eleven million, five hundred sixty-eight thousand, eight hundred sixty-four".