268744 has 16 divisors (see below), whose sum is σ = 576000. Its totient is φ = 115152.

The previous prime is 268733. The next prime is 268747. The reversal of 268744 is 447862.

It is not an unprimeable number, because it can be changed into a prime (268747) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2344 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

268744 is a Friedman number, since it can be written as ((8+6)^4-24)*7, using all its digits and the basic arithmetic operations.

2²⁶⁸⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

268744 is an abundant number, since it is smaller than the sum of its proper divisors (307256).

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

268744 is a wasteful number, since it uses less digits than its factorization.

268744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4808 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 268744 is about 518.4052468870. The cubic root of 268744 is about 64.5326637835.

The spelling of 268744 in words is "two hundred sixty-eight thousand, seven hundred forty-four".