268336 has 20 divisors (see below), whose sum is σ = 537664. Its totient is φ = 129600.

The previous prime is 268297. The next prime is 268343. The reversal of 268336 is 633862.

268336 is an admirable number.

It is a congruent 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, 226 + ... + 766.

2²⁶⁸³³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268832).

268336 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

268336 is a wasteful number, since it uses less digits than its factorization.

268336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 268336 is about 518.0115828821. The cubic root of 268336 is about 64.4999899846.

The spelling of 268336 in words is "two hundred sixty-eight thousand, three hundred thirty-six".