268784 has 20 divisors (see below), whose sum is σ = 528984. Its totient is φ = 132288.

The previous prime is 268783. The next prime is 268789. The reversal of 268784 is 487862.

268784 is nontrivially palindromic in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1634 + ... + 1790.

2²⁶⁸⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

268784 is a deficient number, since it is larger than the sum of its proper divisors (260200).

268784 is a wasteful number, since it uses less digits than its factorization.

268784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 268784 is about 518.4438253080. The cubic root of 268784 is about 64.5358653166.

It can be divided in two parts, 2 and 68784, that added together give a palindrome (68786).

The spelling of 268784 in words is "two hundred sixty-eight thousand, seven hundred eighty-four".