10256864 has 24 divisors (see below), whose sum is σ = 20289528. Its totient is φ = 5104000.

The previous prime is 10256861. The next prime is 10256947. The reversal of 10256864 is 46865201.

It is a super-2 number, since 2×10256864² = 210406518228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10256864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256861) 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, 7394 + ... + 8670.

It is an arithmetic number, because the mean of its divisors is an integer number (845397).

Almost surely, 2^10256864 is an apocalyptic number.

It is an amenable number.

10256864 is a deficient number, since it is larger than the sum of its proper divisors (10032664).

10256864 is a wasteful number, since it uses less digits than its factorization.

10256864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 10256864 is about 3202.6339160135. The cubic root of 10256864 is about 217.2725521207.

The spelling of 10256864 in words is "ten million, two hundred fifty-six thousand, eight hundred sixty-four".