56833920 has 512 divisors, whose sum is σ = 246758400. Its totient is φ = 12165120.

The previous prime is 56833919. The next prime is 56833937. The reversal of 56833920 is 2933865.

56833920 = T₄₆₁ + T₄₆₂ + ... + T₇₅₉.

56833920 is a `hidden beast` number, since 568 + 3 + 3 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471029 + ... + 2471051.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^56833920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

56833920 is an abundant number, since it is smaller than the sum of its proper divisors (189924480).

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

56833920 is a wasteful number, since it uses less digits than its factorization.

56833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56833920 is about 7538.8274950419. The cubic root of 56833920 is about 384.4759722833.

The spelling of 56833920 in words is "fifty-six million, eight hundred thirty-three thousand, nine hundred twenty".