268499880 has 256 divisors, whose sum is σ = 990662400. Its totient is φ = 64143360.

The previous prime is 268499831. The next prime is 268499927. The reversal of 268499880 is 88994862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1152244 + ... + 1152476.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^268499880 is an apocalyptic number.

268499880 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 268499880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

268499880 is an abundant number, since it is smaller than the sum of its proper divisors (722162520).

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

268499880 is a wasteful number, since it uses less digits than its factorization.

268499880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 268499880 is about 16385.9659465043. The cubic root of 268499880 is about 645.1311793764.

The spelling of 268499880 in words is "two hundred sixty-eight million, four hundred ninety-nine thousand, eight hundred eighty".