268961 has 12 divisors (see below), whose sum is σ = 342000. Its totient is φ = 209160.

The previous prime is 268937. The next prime is 268969. The reversal of 268961 is 169862.

It is not a de Polignac number, because 268961 - 2⁶ = 268897 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268961.

It is not an unprimeable number, because it can be changed into a prime (268969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 290 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (28500).

2²⁶⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

268961 is a deficient number, since it is larger than the sum of its proper divisors (73039).

268961 is a wasteful number, since it uses less digits than its factorization.

268961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 268961 is about 518.6145003758. The cubic root of 268961 is about 64.5500282897.

Subtracting from 268961 its reverse (169862), we obtain a palindrome (99099).

The spelling of 268961 in words is "two hundred sixty-eight thousand, nine hundred sixty-one".