268364844 has 72 divisors (see below), whose sum is σ = 758131920. Its totient is φ = 79334400.

The previous prime is 268364809. The next prime is 268364857. The reversal of 268364844 is 448463862.

It is a self number, because there is not a number n which added to its sum of digits gives 268364844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7972 + ... + 24500.

It is an arithmetic number, because the mean of its divisors is an integer number (10529610).

Almost surely, 2^268364844 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 268364844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379065960).

268364844 is an abundant number, since it is smaller than the sum of its proper divisors (489767076).

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

268364844 is a wasteful number, since it uses less digits than its factorization.

268364844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16586 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 268364844 is about 16381.8449510426. The cubic root of 268364844 is about 645.0230098155.

The spelling of 268364844 in words is "two hundred sixty-eight million, three hundred sixty-four thousand, eight hundred forty-four".