23256864 has 72 divisors (see below), whose sum is σ = 69031872. Its totient is φ = 7413120.

The previous prime is 23256829. The next prime is 23256899. The reversal of 23256864 is 46865232.

23256864 is a `hidden beast` number, since 2 + 32 + 568 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (23256829) and next prime (23256899).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23256864² = 1081763446228992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4869 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (958776).

Almost surely, 2^23256864 is an apocalyptic number.

23256864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515936).

23256864 is an abundant number, since it is smaller than the sum of its proper divisors (45775008).

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

23256864 is a wasteful number, since it uses less digits than its factorization.

23256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3539 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 23256864 is about 4822.5370916147. The cubic root of 23256864 is about 285.4414580368.

The spelling of 23256864 in words is "twenty-three million, two hundred fifty-six thousand, eight hundred sixty-four".