204720560 has 80 divisors (see below), whose sum is σ = 528180480. Its totient is φ = 73163520.

The previous prime is 204720517. The next prime is 204720587. The reversal of 204720560 is 65027402.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49949 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (6602256).

Almost surely, 2^204720560 is an apocalyptic number.

204720560 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 204720560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264090240).

204720560 is an abundant number, since it is smaller than the sum of its proper divisors (323459920).

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

204720560 is a wasteful number, since it uses less digits than its factorization.

204720560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 204720560 is about 14308.0592674199. The cubic root of 204720560 is about 589.3688165246.

Adding to 204720560 its reverse (65027402), we get a palindrome (269747962).

The spelling of 204720560 in words is "two hundred four million, seven hundred twenty thousand, five hundred sixty".