268368 has 20 divisors (see below), whose sum is σ = 693408. Its totient is φ = 89440.

The previous prime is 268343. The next prime is 268403. The reversal of 268368 is 863862.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2748 + ... + 2843.

2²⁶⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

268368 is an abundant number, since it is smaller than the sum of its proper divisors (425040).

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

268368 is a wasteful number, since it uses less digits than its factorization.

268368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5596 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 268368 is about 518.0424693015. The cubic root of 268368 is about 64.5025538319.

It can be divided in two parts, 268 and 368, that added together give a palindrome (636).

The spelling of 268368 in words is "two hundred sixty-eight thousand, three hundred sixty-eight".