255680 has 56 divisors (see below), whose sum is σ = 658368. Its totient is φ = 94208.

The previous prime is 255679. The next prime is 255709. The reversal of 255680 is 86552.

255680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5417 + ... + 5463.

2²⁵⁵⁶⁸⁰ is an apocalyptic number.

255680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

255680 is an abundant number, since it is smaller than the sum of its proper divisors (402688).

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

255680 is a wasteful number, since it uses less digits than its factorization.

255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 255680 is about 505.6480989779. The cubic root of 255680 is about 63.4695743632.

It can be divided in two parts, 2556 and 80, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 255680 in words is "two hundred fifty-five thousand, six hundred eighty".