56753760 has 288 divisors, whose sum is σ = 220631040. Its totient is φ = 12192768.

The previous prime is 56753737. The next prime is 56753761. The reversal of 56753760 is 6735765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56753761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446817 + ... + 446943.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^56753760 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 56753760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

56753760 is an abundant number, since it is smaller than the sum of its proper divisors (163877280).

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

56753760 is a wasteful number, since it uses less digits than its factorization.

56753760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 56753760 is about 7533.5091424913. The cubic root of 56753760 is about 384.2951290188.

The spelling of 56753760 in words is "fifty-six million, seven hundred fifty-three thousand, seven hundred sixty".