56501760 has 160 divisors (see below), whose sum is σ = 206629632. Its totient is φ = 12902400.

The previous prime is 56501719. The next prime is 56501779. The reversal of 56501760 is 6710565.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 53235 + ... + 54285.

Almost surely, 2^56501760 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 56501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103314816).

56501760 is an abundant number, since it is smaller than the sum of its proper divisors (150127872).

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

56501760 is a wasteful number, since it uses less digits than its factorization.

56501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 56501760 is about 7516.7652617333. The cubic root of 56501760 is about 383.7254982641.

The spelling of 56501760 in words is "fifty-six million, five hundred one thousand, seven hundred sixty".