268332 has 24 divisors (see below), whose sum is σ = 638400. Its totient is φ = 87696.

The previous prime is 268297. The next prime is 268343. The reversal of 268332 is 233862.

268332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹² + 6⁴ + 3 + 8² + 3⁶ + 2¹⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268332.

It is an unprimeable number.

268332 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, 519 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

268332 is a Friedman number, since it can be written as 8+(6+(2^3)^3)^2, using all its digits and the basic arithmetic operations.

2²⁶⁸³³² is an apocalyptic number.

It is an amenable number.

268332 is an abundant number, since it is smaller than the sum of its proper divisors (370068).

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

268332 is a wasteful number, since it uses less digits than its factorization.

268332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 268332 is about 518.0077219502. The cubic root of 268332 is about 64.4996694893.

The spelling of 268332 in words is "two hundred sixty-eight thousand, three hundred thirty-two".