268418080 has 192 divisors, whose sum is σ = 760838400. Its totient is φ = 89413632.

The previous prime is 268418069. The next prime is 268418093. The reversal of 268418080 is 80814862.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3676924 + ... + 3676996.

It is an arithmetic number, because the mean of its divisors is an integer number (3962700).

Almost surely, 2^268418080 is an apocalyptic number.

268418080 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 268418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380419200).

268418080 is an abundant number, since it is smaller than the sum of its proper divisors (492420320).

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

268418080 is an equidigital number, since it uses as much as digits as its factorization.

268418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 268418080 is about 16383.4697179810. The cubic root of 268418080 is about 645.0656584403.

The spelling of 268418080 in words is "two hundred sixty-eight million, four hundred eighteen thousand, eighty".