268664 has 32 divisors (see below), whose sum is σ = 570240. Its totient is φ = 117600.

The previous prime is 268661. The next prime is 268693. The reversal of 268664 is 466862.

268664 = 23² + 24² + ... + 93².

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3749 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2²⁶⁸⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285120).

268664 is an abundant number, since it is smaller than the sum of its proper divisors (301576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268664 is a wasteful number, since it uses less digits than its factorization.

268664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 268664 is about 518.3280814311. The cubic root of 268664 is about 64.5262597640.

The spelling of 268664 in words is "two hundred sixty-eight thousand, six hundred sixty-four".