204581680 has 40 divisors (see below), whose sum is σ = 478531872. Its totient is φ = 81337344.

The previous prime is 204581653. The next prime is 204581681. The reversal of 204581680 is 86185402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (204581681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5704 + ... + 21016.

Almost surely, 2^204581680 is an apocalyptic number.

204581680 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 204581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265936).

204581680 is an abundant number, since it is smaller than the sum of its proper divisors (273950192).

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

204581680 is a wasteful number, since it uses less digits than its factorization.

204581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15493 (or 15487 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 204581680 is about 14303.2052351912. The cubic root of 204581680 is about 589.2355127710.

The spelling of 204581680 in words is "two hundred four million, five hundred eighty-one thousand, six hundred eighty".