268056 has 64 divisors (see below), whose sum is σ = 799200. Its totient is φ = 82944.

The previous prime is 268049. The next prime is 268063. The reversal of 268056 is 650862.

It is an interprime number because it is at equal distance from previous prime (268049) and next prime (268063).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

268056 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 15 ways as a sum of consecutive naturals, for example, 3636 + ... + 3708.

2²⁶⁸⁰⁵⁶ 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 268056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399600).

268056 is an abundant number, since it is smaller than the sum of its proper divisors (531144).

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

268056 is a wasteful number, since it uses less digits than its factorization.

268056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 268056 is about 517.7412481153. The cubic root of 268056 is about 64.4775476206.

The spelling of 268056 in words is "two hundred sixty-eight thousand, fifty-six".