268857 has 6 divisors (see below), whose sum is σ = 388362. Its totient is φ = 179232.

The previous prime is 268843. The next prime is 268861. The reversal of 268857 is 758862.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 2601 = 516^2 + 51^2 .

It is not a de Polignac number, because 268857 - 2⁴ = 268841 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268857.

It is not an unprimeable number, because it can be changed into a prime (268817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14928 + ... + 14945.

It is an arithmetic number, because the mean of its divisors is an integer number (64727).

2²⁶⁸⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

268857 is a deficient number, since it is larger than the sum of its proper divisors (119505).

268857 is a wasteful number, since it uses less digits than its factorization.

268857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29879 (or 29876 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 268857 is about 518.5142235272. The cubic root of 268857 is about 64.5417072960.

The spelling of 268857 in words is "two hundred sixty-eight thousand, eight hundred fifty-seven".