56280 has 64 divisors (see below), whose sum is σ = 195840. Its totient is φ = 12672.

The previous prime is 56269. The next prime is 56299. The reversal of 56280 is 8265.

It is a happy number.

56280 is a nontrivial binomial coefficient, being equal to C(336, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 807 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2⁵⁶²⁸⁰ is an apocalyptic number.

56280 is the 335-th triangular number and also the 168-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

56280 is an abundant number, since it is smaller than the sum of its proper divisors (139560).

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

56280 is a wasteful number, since it uses less digits than its factorization.

56280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 56280 is about 237.2340616353. The cubic root of 56280 is about 38.3222820485.

The spelling of 56280 in words is "fifty-six thousand, two hundred eighty".