268944 has 40 divisors (see below), whose sum is σ = 749952. Its totient is φ = 82560.

The previous prime is 268937. The next prime is 268969. The reversal of 268944 is 449862.

268944 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 13.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268944.

It is an unprimeable number.

268944 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 7 ways as a sum of consecutive naturals, for example, 409 + ... + 839.

2²⁶⁸⁹⁴⁴ is an apocalyptic number.

268944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

268944 is an abundant number, since it is smaller than the sum of its proper divisors (481008).

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

268944 is a wasteful number, since it uses less digits than its factorization.

268944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 268944 is about 518.5981102935. The cubic root of 268944 is about 64.5486682740.

The spelling of 268944 in words is "two hundred sixty-eight thousand, nine hundred forty-four".