268879 has 12 divisors (see below), whose sum is σ = 305976. Its totient is φ = 235872.

The previous prime is 268861. The next prime is 268883. The reversal of 268879 is 978862.

It is not a de Polignac number, because 268879 - 2¹⁵ = 236111 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6232 + ... + 6274.

It is an arithmetic number, because the mean of its divisors is an integer number (25498).

2²⁶⁸⁸⁷⁹ is an apocalyptic number.

268879 is a deficient number, since it is larger than the sum of its proper divisors (37097).

268879 is a wasteful number, since it uses less digits than its factorization.

268879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 268879 is about 518.5354375547. The cubic root of 268879 is about 64.5434676851.

It can be divided in two parts, 26887 and 9, that added together give a square (26896 = 164²).

The spelling of 268879 in words is "two hundred sixty-eight thousand, eight hundred seventy-nine".