268842880 has 64 divisors (see below), whose sum is σ = 657716400. Its totient is φ = 105025536.

The previous prime is 268842877. The next prime is 268842901. The reversal of 268842880 is 88248862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 268842880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22636 + ... + 32404.

Almost surely, 2^268842880 is an apocalyptic number.

268842880 is a gapful number since it is divisible by the number (20) 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 268842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328858200).

268842880 is an abundant number, since it is smaller than the sum of its proper divisors (388873520).

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

268842880 is an equidigital number, since it uses as much as digits as its factorization.

268842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 268842880 is about 16396.4288794847. The cubic root of 268842880 is about 645.4057739564.

The spelling of 268842880 in words is "two hundred sixty-eight million, eight hundred forty-two thousand, eight hundred eighty".