268392 has 32 divisors (see below), whose sum is σ = 686880. Its totient is φ = 87360.

The previous prime is 268343. The next prime is 268403. The reversal of 268392 is 293862.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268392.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (21465).

2²⁶⁸³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343440).

268392 is an abundant number, since it is smaller than the sum of its proper divisors (418488).

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

268392 is a wasteful number, since it uses less digits than its factorization.

268392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

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

The square root of 268392 is about 518.0656329076. The cubic root of 268392 is about 64.5044765837.

It can be divided in two parts, 2683 and 92, that added together give a triangular number (2775 = T₇₄).

The spelling of 268392 in words is "two hundred sixty-eight thousand, three hundred ninety-two".