56980 has 48 divisors (see below), whose sum is σ = 153216. Its totient is φ = 17280.

The previous prime is 56963. The next prime is 56983. The reversal of 56980 is 8965.

56980 = 1² + 2² + ... + 55².

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56983) by changing a digit.

56980 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, 1522 + ... + 1558.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2⁵⁶⁹⁸⁰ 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 56980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

56980 is an abundant number, since it is smaller than the sum of its proper divisors (96236).

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

56980 is a wasteful number, since it uses less digits than its factorization.

56980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 56980 is about 238.7048386606. The cubic root of 56980 is about 38.4805096153.

The spelling of 56980 in words is "fifty-six thousand, nine hundred eighty".