56633920 has 112 divisors (see below), whose sum is σ = 156106368. Its totient is φ = 19169280.

The previous prime is 56633887. The next prime is 56633921. The reversal of 56633920 is 2933665.

56633920 = T₁₂₀ + T₁₂₁ + ... + T₆₉₈.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (56633921) 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, 293344 + ... + 293536.

Almost surely, 2^56633920 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 56633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78053184).

56633920 is an abundant number, since it is smaller than the sum of its proper divisors (99472448).

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

56633920 is a wasteful number, since it uses less digits than its factorization.

56633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 56633920 is about 7525.5511426074. The cubic root of 56633920 is about 384.0244486748.

The spelling of 56633920 in words is "fifty-six million, six hundred thirty-three thousand, nine hundred twenty".