56338920 has 192 divisors, whose sum is σ = 205208640. Its totient is φ = 13286400.

The previous prime is 56338907. The next prime is 56338927. The reversal of 56338920 is 2983365.

56338920 is a `hidden beast` number, since 563 + 3 + 8 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56338927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162187 + ... + 162533.

It is an arithmetic number, because the mean of its divisors is an integer number (1068795).

Almost surely, 2^56338920 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 56338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

56338920 is an abundant number, since it is smaller than the sum of its proper divisors (148869720).

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

56338920 is a wasteful number, since it uses less digits than its factorization.

56338920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

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

The square root of 56338920 is about 7505.9256591043. The cubic root of 56338920 is about 383.3565068956.

The spelling of 56338920 in words is "fifty-six million, three hundred thirty-eight thousand, nine hundred twenty".