10564920 has 48 divisors (see below), whose sum is σ = 34337160. Its totient is φ = 2817216.

The previous prime is 10564901. The next prime is 10564951. The reversal of 10564920 is 2946501.

10564920 is a `hidden beast` number, since 10 + 5 + 649 + 2 + 0 = 666.

It is a super-2 number, since 2×10564920² = 223235069212800, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

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, 14314 + ... + 15033.

Almost surely, 2^10564920 is an apocalyptic number.

10564920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10564920 is an abundant number, since it is smaller than the sum of its proper divisors (23772240).

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

10564920 is a wasteful number, since it uses less digits than its factorization.

10564920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29364 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10564920 is about 3250.3722863697. The cubic root of 10564920 is about 219.4263290903.

It can be divided in two parts, 105 and 64920, that added together give a square (65025 = 255²).

The spelling of 10564920 in words is "ten million, five hundred sixty-four thousand, nine hundred twenty".