56948160 has 112 divisors (see below), whose sum is σ = 182550816. Its totient is φ = 15040512.

The previous prime is 56948137. The next prime is 56948183. The reversal of 56948160 is 6184965.

56948160 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 (56948137) and next prime (56948183).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131304 + ... + 131736.

It is an arithmetic number, because the mean of its divisors is an integer number (1629918).

Almost surely, 2^56948160 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 56948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275408).

56948160 is an abundant number, since it is smaller than the sum of its proper divisors (125602656).

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

56948160 is a wasteful number, since it uses less digits than its factorization.

56948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 56948160 is about 7546.4004664476. The cubic root of 56948160 is about 384.7334073902.

The spelling of 56948160 in words is "fifty-six million, nine hundred forty-eight thousand, one hundred sixty".