56556960 has 192 divisors, whose sum is σ = 195955200. Its totient is φ = 13647872.

The previous prime is 56556959. The next prime is 56556961. The reversal of 56556960 is 6965565.

It is an interprime number because it is at equal distance from previous prime (56556959) and next prime (56556961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56556961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236521 + ... + 236759.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^56556960 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 56556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

56556960 is an abundant number, since it is smaller than the sum of its proper divisors (139398240).

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

56556960 is a wasteful number, since it uses less digits than its factorization.

56556960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 56556960 is about 7520.4361575643. The cubic root of 56556960 is about 383.8504191714.

The spelling of 56556960 in words is "fifty-six million, five hundred fifty-six thousand, nine hundred sixty".