268587 has 12 divisors (see below), whose sum is σ = 423384. Its totient is φ = 162720.

The previous prime is 268573. The next prime is 268607. The reversal of 268587 is 785862.

It is not a de Polignac number, because 268587 - 2⁷ = 268459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268507) 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, 1258 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (35282).

2²⁶⁸⁵⁸⁷ is an apocalyptic number.

268587 is a deficient number, since it is larger than the sum of its proper divisors (154797).

268587 is a wasteful number, since it uses less digits than its factorization.

268587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2727 counting only the distinct ones).

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

The square root of 268587 is about 518.2537988283. The cubic root of 268587 is about 64.5200946944.

It can be divided in two parts, 2685 and 87, that added together give a palindrome (2772).

The spelling of 268587 in words is "two hundred sixty-eight thousand, five hundred eighty-seven".