56167920 has 120 divisors (see below), whose sum is σ = 190112832. Its totient is φ = 14860800.

The previous prime is 56167913. The next prime is 56167927. The reversal of 56167920 is 2976165.

56167920 is a `hidden beast` number, since 561 + 6 + 7 + 92 + 0 = 666.

56167920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56167913) and next prime (56167927).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56167927) 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, 130105 + ... + 130535.

Almost surely, 2^56167920 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 56167920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95056416).

56167920 is an abundant number, since it is smaller than the sum of its proper divisors (133944912).

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

56167920 is a wasteful number, since it uses less digits than its factorization.

56167920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56167920 is about 7494.5260023567. The cubic root of 56167920 is about 382.9682590206.

The spelling of 56167920 in words is "fifty-six million, one hundred sixty-seven thousand, nine hundred twenty".