268338 has 16 divisors (see below), whose sum is σ = 613440. Its totient is φ = 76656.

The previous prime is 268297. The next prime is 268343. The reversal of 268338 is 833862.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁸ + 6⁴ + 3² + 8² + 3⁶ + 8⁴ .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3153 + ... + 3236.

It is an arithmetic number, because the mean of its divisors is an integer number (38340).

2²⁶⁸³³⁸ is an apocalyptic number.

268338 is an abundant number, since it is smaller than the sum of its proper divisors (345102).

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

268338 is a wasteful number, since it uses less digits than its factorization.

268338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401.

The product of its digits is 6912, while the sum is 30.

The square root of 268338 is about 518.0135133372. The cubic root of 268338 is about 64.5001502310.

It can be divided in two parts, 268 and 338, that added together give a palindrome (606).

The spelling of 268338 in words is "two hundred sixty-eight thousand, three hundred thirty-eight".