204571680 has 96 divisors (see below), whose sum is σ = 646398144. Its totient is φ = 54383616.

The previous prime is 204571669. The next prime is 204571691. The reversal of 204571680 is 86175402.

It is an interprime number because it is at equal distance from previous prime (204571669) and next prime (204571691).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269862 + ... + 270618.

It is an arithmetic number, because the mean of its divisors is an integer number (6733314).

Almost surely, 2^204571680 is an apocalyptic number.

204571680 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 204571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323199072).

204571680 is an abundant number, since it is smaller than the sum of its proper divisors (441826464).

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

204571680 is a wasteful number, since it uses less digits than its factorization.

204571680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 204571680 is about 14302.8556589235. The cubic root of 204571680 is about 589.2259119583.

The spelling of 204571680 in words is "two hundred four million, five hundred seventy-one thousand, six hundred eighty".