204535680 has 128 divisors (see below), whose sum is σ = 655966080. Its totient is φ = 54208512.

The previous prime is 204535679. The next prime is 204535697. The reversal of 204535680 is 86535402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 589267 + ... + 589613.

It is an arithmetic number, because the mean of its divisors is an integer number (5124735).

Almost surely, 2^204535680 is an apocalyptic number.

204535680 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 204535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327983040).

204535680 is an abundant number, since it is smaller than the sum of its proper divisors (451430400).

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

204535680 is a wasteful number, since it uses less digits than its factorization.

204535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 204535680 is about 14301.5971136094. The cubic root of 204535680 is about 589.1913464420.

The spelling of 204535680 in words is "two hundred four million, five hundred thirty-five thousand, six hundred eighty".