268518120 has 64 divisors (see below), whose sum is σ = 867525120. Its totient is φ = 66096384.

The previous prime is 268518113. The next prime is 268518149. The reversal of 268518120 is 21815862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84504 + ... + 87623.

It is an arithmetic number, because the mean of its divisors is an integer number (13555080).

Almost surely, 2^268518120 is an apocalyptic number.

268518120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268518120 is an abundant number, since it is smaller than the sum of its proper divisors (599007000).

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

268518120 is a wasteful number, since it uses less digits than its factorization.

268518120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172154 (or 172150 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 268518120 is about 16386.5225108929. The cubic root of 268518120 is about 645.1457876092.

The spelling of 268518120 in words is "two hundred sixty-eight million, five hundred eighteen thousand, one hundred twenty".