268856 has 16 divisors (see below), whose sum is σ = 576240. Its totient is φ = 115200.

The previous prime is 268843. The next prime is 268861. The reversal of 268856 is 658862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2345 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (36015).

2²⁶⁸⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

268856 is an abundant number, since it is smaller than the sum of its proper divisors (307384).

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

268856 is a wasteful number, since it uses less digits than its factorization.

268856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4810 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 268856 is about 518.5132592326. The cubic root of 268856 is about 64.5416272760.

It can be divided in two parts, 2688 and 56, that added together give a cube (2744 = 14³).

The spelling of 268856 in words is "two hundred sixty-eight thousand, eight hundred fifty-six".