268956 has 36 divisors (see below), whose sum is σ = 704704. Its totient is φ = 86400.

The previous prime is 268937. The next prime is 268969. The reversal of 268956 is 659862.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2² + 6 + 9⁴ + 8⁶ + 5² + 6³ .

It is a nialpdrome in base 6.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 268956.

It is a congruent number.

It is an unprimeable number.

268956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996 + ... + 1236.

2²⁶⁸⁹⁵⁶ 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 268956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352352).

268956 is an abundant number, since it is smaller than the sum of its proper divisors (435748).

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

268956 is a wasteful number, since it uses less digits than its factorization.

268956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 268956 is about 518.6096798171. The cubic root of 268956 is about 64.5496282911.

The spelling of 268956 in words is "two hundred sixty-eight thousand, nine hundred fifty-six".