56760 has 64 divisors (see below), whose sum is σ = 190080. Its totient is φ = 13440.

The previous prime is 56747. The next prime is 56767. The reversal of 56760 is 6765.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 56760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56767) by changing a digit.

56760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

2⁵⁶⁷⁶⁰ 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 56760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

56760 is an abundant number, since it is smaller than the sum of its proper divisors (133320).

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

56760 is a wasteful number, since it uses less digits than its factorization.

56760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 56760 is about 238.2435728409. The cubic root of 56760 is about 38.4309212748.

The spelling of 56760 in words is "fifty-six thousand, seven hundred sixty".