204938160 has 160 divisors (see below), whose sum is σ = 730905600. Its totient is φ = 46531584.

The previous prime is 204938159. The next prime is 204938171. The reversal of 204938160 is 61839402.

204938160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 334014 + ... + 334626.

It is an arithmetic number, because the mean of its divisors is an integer number (4568160).

Almost surely, 2^204938160 is an apocalyptic number.

204938160 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 204938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365452800).

204938160 is an abundant number, since it is smaller than the sum of its proper divisors (525967440).

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

204938160 is a wasteful number, since it uses less digits than its factorization.

204938160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 204938160 is about 14315.6613539159. The cubic root of 204938160 is about 589.5775583708.

The spelling of 204938160 in words is "two hundred four million, nine hundred thirty-eight thousand, one hundred sixty".