204528160 has 72 divisors (see below), whose sum is σ = 510111756. Its totient is φ = 77483520.

The previous prime is 204528157. The next prime is 204528169. The reversal of 204528160 is 61825402.

It can be written as a sum of positive squares in 2 ways, for example, as 201980944 + 2547216 = 14212^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (204528169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55990 + ... + 59530.

Almost surely, 2^204528160 is an apocalyptic number.

204528160 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 204528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255055878).

204528160 is an abundant number, since it is smaller than the sum of its proper divisors (305583596).

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

204528160 is a wasteful number, since it uses less digits than its factorization.

204528160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 204528160 is about 14301.3342034930. The cubic root of 204528160 is about 589.1841255776.

The spelling of 204528160 in words is "two hundred four million, five hundred twenty-eight thousand, one hundred sixty".