268565 has 16 divisors (see below), whose sum is σ = 371520. Its totient is φ = 184320.

The previous prime is 268547. The next prime is 268573. The reversal of 268565 is 565862.

It is a happy number.

It is not a de Polignac number, because 268565 - 2⁶ = 268501 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 917 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (23220).

2²⁶⁸⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

268565 is a deficient number, since it is larger than the sum of its proper divisors (102955).

268565 is a wasteful number, since it uses less digits than its factorization.

268565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its digits is 14400, while the sum is 32.

The square root of 268565 is about 518.2325732719. The cubic root of 268565 is about 64.5183330295.

The spelling of 268565 in words is "two hundred sixty-eight thousand, five hundred sixty-five".