56968920 has 96 divisors (see below), whose sum is σ = 192039120. Its totient is φ = 15189120.

The previous prime is 56968903. The next prime is 56968927. The reversal of 56968920 is 2986965.

56968920 is a `hidden beast` number, since 569 + 6 + 89 + 2 + 0 = 666.

56968920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56968927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6790 + ... + 12650.

Almost surely, 2^56968920 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 56968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96019560).

56968920 is an abundant number, since it is smaller than the sum of its proper divisors (135070200).

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

56968920 is a wasteful number, since it uses less digits than its factorization.

56968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 56968920 is about 7547.7758313294. The cubic root of 56968920 is about 384.7801522144.

The spelling of 56968920 in words is "fifty-six million, nine hundred sixty-eight thousand, nine hundred twenty".