56956768 has 96 divisors (see below), whose sum is σ = 129330432. Its totient is φ = 24460800.

The previous prime is 56956729. The next prime is 56956793. The reversal of 56956768 is 86765965.

Its product of digits (2721600) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802173 + ... + 802243.

It is an arithmetic number, because the mean of its divisors is an integer number (1347192).

Almost surely, 2^56956768 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 56956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64665216).

56956768 is an abundant number, since it is smaller than the sum of its proper divisors (72373664).

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

56956768 is a wasteful number, since it uses less digits than its factorization.

56956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 56956768 is about 7546.9707830361. The cubic root of 56956768 is about 384.7527912083.

The spelling of 56956768 in words is "fifty-six million, nine hundred fifty-six thousand, seven hundred sixty-eight".