204513680 has 80 divisors (see below), whose sum is σ = 546822144. Its totient is φ = 69680640.

The previous prime is 204513679. The next prime is 204513703. The reversal of 204513680 is 86315402.

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

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, 95825 + ... + 97935.

Almost surely, 2^204513680 is an apocalyptic number.

204513680 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 204513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273411072).

204513680 is an abundant number, since it is smaller than the sum of its proper divisors (342308464).

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

204513680 is a wasteful number, since it uses less digits than its factorization.

204513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 204513680 is about 14300.8279480595. The cubic root of 204513680 is about 589.1702210742.

The spelling of 204513680 in words is "two hundred four million, five hundred thirteen thousand, six hundred eighty".