268500880 has 40 divisors (see below), whose sum is σ = 624960000. Its totient is φ = 107280768.

The previous prime is 268500877. The next prime is 268500887. The reversal of 268500880 is 88005862.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (268500887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118801 + ... + 121039.

It is an arithmetic number, because the mean of its divisors is an integer number (15624000).

Almost surely, 2^268500880 is an apocalyptic number.

268500880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268500880 is an abundant number, since it is smaller than the sum of its proper divisors (356459120).

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

268500880 is a wasteful number, since it uses less digits than its factorization.

268500880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 268500880 is about 16385.9964603926. The cubic root of 268500880 is about 645.1319802835.

The spelling of 268500880 in words is "two hundred sixty-eight million, five hundred thousand, eight hundred eighty".