204580160 has 112 divisors (see below), whose sum is σ = 516160512. Its totient is φ = 77107200.

The previous prime is 204580151. The next prime is 204580169. The reversal of 204580160 is 61085402.

It is an interprime number because it is at equal distance from previous prime (204580151) and next prime (204580169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204580169) 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, 406469 + ... + 406971.

It is an arithmetic number, because the mean of its divisors is an integer number (4608576).

Almost surely, 2^204580160 is an apocalyptic number.

204580160 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 204580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258080256).

204580160 is an abundant number, since it is smaller than the sum of its proper divisors (311580352).

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

204580160 is a wasteful number, since it uses less digits than its factorization.

204580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 204580160 is about 14303.1521001491. The cubic root of 204580160 is about 589.2340534676.

The spelling of 204580160 in words is "two hundred four million, five hundred eighty thousand, one hundred sixty".