338268 has 24 divisors (see below), whose sum is σ = 902272. Its totient is φ = 96624.

The previous prime is 338267. The next prime is 338269. The reversal of 338268 is 862833.

It is an interprime number because it is at equal distance from previous prime (338267) and next prime (338269).

It is a super-2 number, since 2×338268² = 228850479648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338263) 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, 1930 + ... + 2097.

2³³⁸²⁶⁸ is an apocalyptic number.

It is an amenable number.

338268 is an abundant number, since it is smaller than the sum of its proper divisors (564004).

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

338268 is a wasteful number, since it uses less digits than its factorization.

338268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4039 counting only the distinct ones).

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

The square root of 338268 is about 581.6081154867. The cubic root of 338268 is about 69.6766034629.

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

The spelling of 338268 in words is "three hundred thirty-eight thousand, two hundred sixty-eight".