268656 has 40 divisors (see below), whose sum is σ = 721680. Its totient is φ = 86016.

The previous prime is 268643. The next prime is 268661. The reversal of 268656 is 656862.

It is a super-3 number, since 3×268656³ = 58171583713333248, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

268656 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (18042).

2²⁶⁸⁶⁵⁶ 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 268656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360840).

268656 is an abundant number, since it is smaller than the sum of its proper divisors (453024).

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

268656 is a wasteful number, since it uses less digits than its factorization.

With its successor (268657) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (227).

268656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 268656 is about 518.3203642536. The cubic root of 268656 is about 64.5256192921.

The spelling of 268656 in words is "two hundred sixty-eight thousand, six hundred fifty-six".