56680 has 32 divisors (see below), whose sum is σ = 138600. Its totient is φ = 20736.

The previous prime is 56671. The next prime is 56681. The reversal of 56680 is 8665.

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 15876 = 202^2 + 126^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56681) by changing a digit.

56680 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 7 ways as a sum of consecutive naturals, for example, 466 + ... + 574.

2⁵⁶⁶⁸⁰ 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 56680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69300).

56680 is an abundant number, since it is smaller than the sum of its proper divisors (81920).

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

56680 is a wasteful number, since it uses less digits than its factorization.

56680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 56680 is about 238.0756182392. The cubic root of 56680 is about 38.4128573843.

It can be divided in two parts, 566 and 80, that added together give a palindrome (646).

The spelling of 56680 in words is "fifty-six thousand, six hundred eighty".