268882344 has 96 divisors (see below), whose sum is σ = 757036800. Its totient is φ = 86123520.

The previous prime is 268882343. The next prime is 268882373. The reversal of 268882344 is 443288862.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 268882344.

It is not an unprimeable number, because it can be changed into a prime (268882343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399192 + ... + 399864.

It is an arithmetic number, because the mean of its divisors is an integer number (7885800).

Almost surely, 2^268882344 is an apocalyptic number.

268882344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268882344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378518400).

268882344 is an abundant number, since it is smaller than the sum of its proper divisors (488154456).

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

268882344 is a wasteful number, since it uses less digits than its factorization.

268882344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 268882344 is about 16397.6322681051. The cubic root of 268882344 is about 645.4373525588.

The spelling of 268882344 in words is "two hundred sixty-eight million, eight hundred eighty-two thousand, three hundred forty-four".