268740 has 36 divisors (see below), whose sum is σ = 815724. Its totient is φ = 71616.

The previous prime is 268733. The next prime is 268747. The reversal of 268740 is 47862.

It is an interprime number because it is at equal distance from previous prime (268733) and next prime (268747).

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 97344 = 414^2 + 312^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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.

268740 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 11 ways as a sum of consecutive naturals, for example, 567 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (22659).

2²⁶⁸⁷⁴⁰ is an apocalyptic number.

268740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268740 is an abundant number, since it is smaller than the sum of its proper divisors (546984).

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

268740 is a wasteful number, since it uses less digits than its factorization.

268740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 268740 is about 518.4013888870. The cubic root of 268740 is about 64.5323436127.

The spelling of 268740 in words is "two hundred sixty-eight thousand, seven hundred forty".