268789800 has 48 divisors (see below), whose sum is σ = 833250240. Its totient is φ = 71677120.

The previous prime is 268789769. The next prime is 268789817. The reversal of 268789800 is 8987862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268789800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223392 + ... + 224591.

It is an arithmetic number, because the mean of its divisors is an integer number (17359380).

Almost surely, 2^268789800 is an apocalyptic number.

268789800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268789800 is an abundant number, since it is smaller than the sum of its proper divisors (564460440).

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

268789800 is a wasteful number, since it uses less digits than its factorization.

268789800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448002 (or 447993 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 268789800 is about 16394.8101544361. The cubic root of 268789800 is about 645.3632951259.

The spelling of 268789800 in words is "two hundred sixty-eight million, seven hundred eighty-nine thousand, eight hundred".