56895120 has 120 divisors (see below), whose sum is σ = 201177600. Its totient is φ = 14370048.

The previous prime is 56895103. The next prime is 56895131. The reversal of 56895120 is 2159865.

It is a happy number.

56895120 is a `hidden beast` number, since 568 + 95 + 1 + 2 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11601 + ... + 15759.

It is an arithmetic number, because the mean of its divisors is an integer number (1676480).

Almost surely, 2^56895120 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 56895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100588800).

56895120 is an abundant number, since it is smaller than the sum of its proper divisors (144282480).

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

56895120 is a wasteful number, since it uses less digits than its factorization.

56895120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4188 counting only the distinct ones).

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

The square root of 56895120 is about 7542.8853895575. The cubic root of 56895120 is about 384.6139268047.

The spelling of 56895120 in words is "fifty-six million, eight hundred ninety-five thousand, one hundred twenty".