268932 has 24 divisors (see below), whose sum is σ = 638176. Its totient is φ = 88128.

The previous prime is 268927. The next prime is 268937. The reversal of 268932 is 239862.

268932 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (268927) and next prime (268937).

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 9⁴ + 8 + 3 + 2¹⁷ .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 268932.

It is not an unprimeable number, because it can be changed into a prime (268937) by changing a digit.

268932 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 1029.

2²⁶⁸⁹³² is an apocalyptic number.

It is an amenable number.

268932 is an abundant number, since it is smaller than the sum of its proper divisors (369244).

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

268932 is a wasteful number, since it uses less digits than its factorization.

268932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 268932 is about 518.5865405118. The cubic root of 268932 is about 64.5477082283.

It can be divided in two parts, 26 and 8932, that multiplied together give a palindrome (232232).

The spelling of 268932 in words is "two hundred sixty-eight thousand, nine hundred thirty-two".