268340 has 12 divisors (see below), whose sum is σ = 563556. Its totient is φ = 107328.

The previous prime is 268297. The next prime is 268343. The reversal of 268340 is 43862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 169744 = 314^2 + 412^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268343) by changing a digit.

268340 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 3 ways as a sum of consecutive naturals, for example, 6689 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (46963).

2²⁶⁸³⁴⁰ is an apocalyptic number.

268340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268340 is an abundant number, since it is smaller than the sum of its proper divisors (295216).

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

268340 is a wasteful number, since it uses less digits than its factorization.

268340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 268340 is about 518.0154437852. The cubic root of 268340 is about 64.5003104766.

The spelling of 268340 in words is "two hundred sixty-eight thousand, three hundred forty".