268904 has 8 divisors (see below), whose sum is σ = 504210. Its totient is φ = 134448.

The previous prime is 268897. The next prime is 268909. The reversal of 268904 is 409862.

268904 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 252004 + 16900 = 502^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×268904² = 144618722432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268909) 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 as a sum of consecutive naturals, namely, 16799 + ... + 16814.

2²⁶⁸⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

268904 is a deficient number, since it is larger than the sum of its proper divisors (235306).

268904 is a wasteful number, since it uses less digits than its factorization.

268904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33619 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 268904 is about 518.5595433506. The cubic root of 268904 is about 64.5454680108.

The spelling of 268904 in words is "two hundred sixty-eight thousand, nine hundred four".