268864120 has 32 divisors (see below), whose sum is σ = 691365600. Its totient is φ = 92181888.

The previous prime is 268864109. The next prime is 268864151. The reversal of 268864120 is 21468862.

It is a self number, because there is not a number n which added to its sum of digits gives 268864120.

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, 479835 + ... + 480394.

It is an arithmetic number, because the mean of its divisors is an integer number (21605175).

Almost surely, 2^268864120 is an apocalyptic number.

268864120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268864120 is an abundant number, since it is smaller than the sum of its proper divisors (422501480).

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

268864120 is a wasteful number, since it uses less digits than its factorization.

268864120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960247 (or 960243 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 268864120 is about 16397.0765687058. The cubic root of 268864120 is about 645.4227703245.

The spelling of 268864120 in words is "two hundred sixty-eight million, eight hundred sixty-four thousand, one hundred twenty".