268688 has 20 divisors (see below), whose sum is σ = 595200. Its totient is φ = 115104.

The previous prime is 268661. The next prime is 268693. The reversal of 268688 is 886862.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268688.

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, 1088 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2²⁶⁸⁶⁸⁸ is an apocalyptic number.

268688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268688 is an abundant number, since it is smaller than the sum of its proper divisors (326512).

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

268688 is a wasteful number, since it uses less digits than its factorization.

268688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 268688 is about 518.3512322740. The cubic root of 268688 is about 64.5281811033.

The spelling of 268688 in words is "two hundred sixty-eight thousand, six hundred eighty-eight".