268580 has 24 divisors (see below), whose sum is σ = 607992. Its totient is φ = 99072.

The previous prime is 268573. The next prime is 268607. The reversal of 268580 is 85862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 222784 = 214^2 + 472^2 .

It is a nialpdrome in base 13.

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, 257 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (25333).

2²⁶⁸⁵⁸⁰ is an apocalyptic number.

268580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268580 is an abundant number, since it is smaller than the sum of its proper divisors (339412).

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

268580 is a wasteful number, since it uses less digits than its factorization.

268580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 268580 is about 518.2470453365. The cubic root of 268580 is about 64.5195341751.

It can be divided in two parts, 268 and 580, that added together give a palindrome (848).

The spelling of 268580 in words is "two hundred sixty-eight thousand, five hundred eighty".