268884 has 72 divisors (see below), whose sum is σ = 856128. Its totient is φ = 69120.

The previous prime is 268883. The next prime is 268897. The reversal of 268884 is 488862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268884.

It is not an unprimeable number, because it can be changed into a prime (268883) 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 23 ways as a sum of consecutive naturals, for example, 2724 + ... + 2820.

2²⁶⁸⁸⁸⁴ 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 268884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064).

268884 is an abundant number, since it is smaller than the sum of its proper divisors (587244).

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

268884 is a wasteful number, since it uses less digits than its factorization.

268884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 268884 is about 518.5402588035. The cubic root of 268884 is about 64.5438677602.

It can be divided in two parts, 2688 and 84, that added together give a palindrome (2772).

The spelling of 268884 in words is "two hundred sixty-eight thousand, eight hundred eighty-four".