255684 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 71040.

The previous prime is 255679. The next prime is 255709. The reversal of 255684 is 486552.

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, 1642 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁵⁵⁶⁸⁴ 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 255684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

255684 is an abundant number, since it is smaller than the sum of its proper divisors (449916).

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

255684 is a wasteful number, since it uses less digits than its factorization.

255684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 255684 is about 505.6520542824. The cubic root of 255684 is about 63.4699053460.

It can be divided in two parts, 255 and 684, that added together give a palindrome (939).

The spelling of 255684 in words is "two hundred fifty-five thousand, six hundred eighty-four".