56185920 has 224 divisors, whose sum is σ = 226771200. Its totient is φ = 12828672.

The previous prime is 56185891. The next prime is 56185931. The reversal of 56185920 is 2958165.

It is a happy number.

56185920 is a `hidden beast` number, since 5 + 61 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 60016 + ... + 60944.

Almost surely, 2^56185920 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 56185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

56185920 is an abundant number, since it is smaller than the sum of its proper divisors (170585280).

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

56185920 is a wasteful number, since it uses less digits than its factorization.

56185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56185920 is about 7495.7267826409. The cubic root of 56185920 is about 383.0091642943.

The spelling of 56185920 in words is "fifty-six million, one hundred eighty-five thousand, nine hundred twenty".