268915040 has 48 divisors (see below), whose sum is σ = 641898432. Its totient is φ = 106450944.

The previous prime is 268915039. The next prime is 268915063. The reversal of 268915040 is 40519862.

It is a congruent number.

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, 6857 + ... + 24183.

It is an arithmetic number, because the mean of its divisors is an integer number (13372884).

Almost surely, 2^268915040 is an apocalyptic number.

268915040 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 268915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320949216).

268915040 is an abundant number, since it is smaller than the sum of its proper divisors (372983392).

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

268915040 is a wasteful number, since it uses less digits than its factorization.

268915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17439 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 268915040 is about 16398.6292110042. The cubic root of 268915040 is about 645.4635131514.

The spelling of 268915040 in words is "two hundred sixty-eight million, nine hundred fifteen thousand, forty".