268896 has 24 divisors (see below), whose sum is σ = 706104. Its totient is φ = 89600.

The previous prime is 268883. The next prime is 268897. The reversal of 268896 is 698862.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268897) by changing a digit.

268896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1305 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (29421).

2²⁶⁸⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

268896 is an abundant number, since it is smaller than the sum of its proper divisors (437208).

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

268896 is a wasteful number, since it uses less digits than its factorization.

268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2806 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 268896 is about 518.5518296178. The cubic root of 268896 is about 64.5448279201.

The spelling of 268896 in words is "two hundred sixty-eight thousand, eight hundred ninety-six".