268204160 has 128 divisors (see below), whose sum is σ = 739981440. Its totient is φ = 91054080.

The previous prime is 268204159. The next prime is 268204163. The reversal of 268204160 is 61402862.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (268204163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586652 + ... + 587108.

It is an arithmetic number, because the mean of its divisors is an integer number (5781105).

Almost surely, 2^268204160 is an apocalyptic number.

268204160 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 268204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369990720).

268204160 is an abundant number, since it is smaller than the sum of its proper divisors (471777280).

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

268204160 is a wasteful number, since it uses less digits than its factorization.

268204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 268204160 is about 16376.9398850945. The cubic root of 268204160 is about 644.8942478305.

The spelling of 268204160 in words is "two hundred sixty-eight million, two hundred four thousand, one hundred sixty".