268764 has 12 divisors (see below), whose sum is σ = 627144. Its totient is φ = 89584.

The previous prime is 268759. The next prime is 268771. The reversal of 268764 is 467862.

268764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11187 + ... + 11210.

It is an arithmetic number, because the mean of its divisors is an integer number (52262).

2²⁶⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

268764 is an abundant number, since it is smaller than the sum of its proper divisors (358380).

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

268764 is a wasteful number, since it uses less digits than its factorization.

268764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22404 (or 22402 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 268764 is about 518.4245364564. The cubic root of 268764 is about 64.5342645898.

The spelling of 268764 in words is "two hundred sixty-eight thousand, seven hundred sixty-four".