268360 has 16 divisors (see below), whose sum is σ = 603900. Its totient is φ = 107328.

The previous prime is 268343. The next prime is 268403. The reversal of 268360 is 63862.

It can be written as a sum of positive squares in 2 ways, for example, as 268324 + 36 = 518^2 + 6^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3315 + ... + 3394.

2²⁶⁸³⁶⁰ is an apocalyptic number.

268360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268360 is an abundant number, since it is smaller than the sum of its proper divisors (335540).

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

268360 is a wasteful number, since it uses less digits than its factorization.

268360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 268360 is about 518.0347478693. The cubic root of 268360 is about 64.5019128892.

The spelling of 268360 in words is "two hundred sixty-eight thousand, three hundred sixty".