268938 has 24 divisors (see below), whose sum is σ = 594048. Its totient is φ = 87912.

The previous prime is 268937. The next prime is 268969. The reversal of 268938 is 839862.

It is a d-powerful number, because it can be written as 2¹⁰ + 6³ + 9³ + 8⁴ + 3⁶ + 8⁶ .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268937) by changing a digit.

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, 1095 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (24752).

2²⁶⁸⁹³⁸ is an apocalyptic number.

268938 is an abundant number, since it is smaller than the sum of its proper divisors (325110).

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

268938 is a wasteful number, since it uses less digits than its factorization.

268938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 268938 is about 518.5923254349. The cubic root of 268938 is about 64.5481882547.

The spelling of 268938 in words is "two hundred sixty-eight thousand, nine hundred thirty-eight".