268746 has 16 divisors (see below), whose sum is σ = 549504. Its totient is φ = 87584.

The previous prime is 268733. The next prime is 268747. The reversal of 268746 is 647862.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 6.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (34344).

2²⁶⁸⁷⁴⁶ is an apocalyptic number.

268746 is an abundant number, since it is smaller than the sum of its proper divisors (280758).

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

268746 is a wasteful number, since it uses less digits than its factorization.

268746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005.

The product of its digits is 16128, while the sum is 33.

The square root of 268746 is about 518.4071758763. The cubic root of 268746 is about 64.5328238677.

The spelling of 268746 in words is "two hundred sixty-eight thousand, seven hundred forty-six".