56955360 has 384 divisors, whose sum is σ = 236888064. Its totient is φ = 11151360.

The previous prime is 56955341. The next prime is 56955377. The reversal of 56955360 is 6355965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850047 + ... + 850113.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 2^56955360 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 56955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118444032).

56955360 is an abundant number, since it is smaller than the sum of its proper divisors (179932704).

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

56955360 is a wasteful number, since it uses less digits than its factorization.

56955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 56955360 is about 7546.8774999996. The cubic root of 56955360 is about 384.7496207545.

The spelling of 56955360 in words is "fifty-six million, nine hundred fifty-five thousand, three hundred sixty".