268800680 has 32 divisors (see below), whose sum is σ = 605340000. Its totient is φ = 107424576.

The previous prime is 268800647. The next prime is 268800691. The reversal of 268800680 is 86008862.

268800680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 57719 + ... + 62201.

It is an arithmetic number, because the mean of its divisors is an integer number (18916875).

Almost surely, 2^268800680 is an apocalyptic number.

268800680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268800680 is an abundant number, since it is smaller than the sum of its proper divisors (336539320).

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

268800680 is a wasteful number, since it uses less digits than its factorization.

268800680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 268800680 is about 16395.1419633988. The cubic root of 268800680 is about 645.3720026214.

The spelling of 268800680 in words is "two hundred sixty-eight million, eight hundred thousand, six hundred eighty".