10864656 has 120 divisors (see below), whose sum is σ = 35012640. Its totient is φ = 3119040.

The previous prime is 10864639. The next prime is 10864669. The reversal of 10864656 is 65646801.

10864656 is a `hidden beast` number, since 1 + 0 + 8 + 646 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10864656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571815 + ... + 571833.

It is an arithmetic number, because the mean of its divisors is an integer number (291772).

Almost surely, 2^10864656 is an apocalyptic number.

10864656 is a gapful number since it is divisible by the number (16) 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 10864656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506320).

10864656 is an abundant number, since it is smaller than the sum of its proper divisors (24147984).

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

10864656 is a wasteful number, since it uses less digits than its factorization.

10864656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 10864656 is about 3296.1577632146. The cubic root of 10864656 is about 221.4821139636.

The spelling of 10864656 in words is "ten million, eight hundred sixty-four thousand, six hundred fifty-six".