268760 has 16 divisors (see below), whose sum is σ = 604800. Its totient is φ = 107488.

The previous prime is 268759. The next prime is 268771. The reversal of 268760 is 67862.

268760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3320 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2²⁶⁸⁷⁶⁰ is an apocalyptic number.

268760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268760 is an abundant number, since it is smaller than the sum of its proper divisors (336040).

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

268760 is a wasteful number, since it uses less digits than its factorization.

268760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 268760 is about 518.4206785999. The cubic root of 268760 is about 64.5339444349.

The spelling of 268760 in words is "two hundred sixty-eight thousand, seven hundred sixty".