56035760 has 80 divisors (see below), whose sum is σ = 146053152. Its totient is φ = 19814400.

The previous prime is 56035753. The next prime is 56035783. The reversal of 56035760 is 6753065.

It is a tau number, because it is divible by the number of its divisors (80).

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, 31700 + ... + 33420.

Almost surely, 2^56035760 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 56035760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73026576).

56035760 is an abundant number, since it is smaller than the sum of its proper divisors (90017392).

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

56035760 is a wasteful number, since it uses less digits than its factorization.

56035760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 56035760 is about 7485.7037077352. The cubic root of 56035760 is about 382.6676554396.

The spelling of 56035760 in words is "fifty-six million, thirty-five thousand, seven hundred sixty".