268264 has 8 divisors (see below), whose sum is σ = 503010. Its totient is φ = 134128.

The previous prime is 268253. The next prime is 268267. The reversal of 268264 is 462862.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 72900 = 442^2 + 270^2 .

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

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 2¹⁷ + 8³ + 6⁴ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (268267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16759 + ... + 16774.

2²⁶⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

268264 is a deficient number, since it is larger than the sum of its proper divisors (234746).

268264 is a wasteful number, since it uses less digits than its factorization.

268264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33539 (or 33535 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 268264 is about 517.9420817041. The cubic root of 268264 is about 64.4942205827.

The spelling of 268264 in words is "two hundred sixty-eight thousand, two hundred sixty-four".