56916864 has 128 divisors (see below), whose sum is σ = 172339200. Its totient is φ = 18482688.

The previous prime is 56916851. The next prime is 56916869. The reversal of 56916864 is 46861965.

56916864 is a `hidden beast` number, since 569 + 1 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56916869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148417 + ... + 148799.

It is an arithmetic number, because the mean of its divisors is an integer number (1346400).

Almost surely, 2^56916864 is an apocalyptic number.

56916864 is a gapful number since it is divisible by the number (54) 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 56916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

56916864 is an abundant number, since it is smaller than the sum of its proper divisors (115422336).

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

56916864 is a wasteful number, since it uses less digits than its factorization.

56916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56916864 is about 7544.3266101091. The cubic root of 56916864 is about 384.6629174157.

The spelling of 56916864 in words is "fifty-six million, nine hundred sixteen thousand, eight hundred sixty-four".