508680 has 80 divisors (see below), whose sum is σ = 1720620. Its totient is φ = 134784.

The previous prime is 508661. The next prime is 508693. The reversal of 508680 is 86805.

508680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 15876 = 702^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3162 + ... + 3318.

2⁵⁰⁸⁶⁸⁰ 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 508680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860310).

508680 is an abundant number, since it is smaller than the sum of its proper divisors (1211940).

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

508680 is a wasteful number, since it uses less digits than its factorization.

508680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 508680 is about 713.2180592217. The cubic root of 508680 is about 79.8267082289.

Subtracting from 508680 its reverse (86805), we obtain a cube (421875 = 75³).

The spelling of 508680 in words is "five hundred eight thousand, six hundred eighty".