56652960 has 192 divisors, whose sum is σ = 219808512. Its totient is φ = 11943936.

The previous prime is 56652949. The next prime is 56652961. The reversal of 56652960 is 6925665.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56652961) 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, 43032 + ... + 44328.

It is an arithmetic number, because the mean of its divisors is an integer number (1144836).

Almost surely, 2^56652960 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 56652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109904256).

56652960 is an abundant number, since it is smaller than the sum of its proper divisors (163155552).

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

56652960 is a wasteful number, since it uses less digits than its factorization.

56652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 56652960 is about 7526.8160599287. The cubic root of 56652960 is about 384.0674794607.

The spelling of 56652960 in words is "fifty-six million, six hundred fifty-two thousand, nine hundred sixty".