268865520 has 160 divisors (see below), whose sum is σ = 1039219200. Its totient is φ = 55864320.

The previous prime is 268865503. The next prime is 268865539. The reversal of 268865520 is 25568862.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 11206 + ... + 25754.

It is an arithmetic number, because the mean of its divisors is an integer number (6495120).

Almost surely, 2^268865520 is an apocalyptic number.

268865520 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 268865520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519609600).

268865520 is an abundant number, since it is smaller than the sum of its proper divisors (770353680).

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

268865520 is a wasteful number, since it uses less digits than its factorization.

268865520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14583 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 268865520 is about 16397.1192591870. The cubic root of 268865520 is about 645.4238905809.

The spelling of 268865520 in words is "two hundred sixty-eight million, eight hundred sixty-five thousand, five hundred twenty".