204085980 has 216 divisors, whose sum is σ = 747674928. Its totient is φ = 46593792.

The previous prime is 204085979. The next prime is 204086009. The reversal of 204085980 is 89580402.

204085980 is a `hidden beast` number, since 20 + 40 + 8 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 237712 + ... + 238568.

It is an arithmetic number, because the mean of its divisors is an integer number (3461458).

Almost surely, 2^204085980 is an apocalyptic number.

204085980 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 204085980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373837464).

204085980 is an abundant number, since it is smaller than the sum of its proper divisors (543588948).

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

204085980 is a wasteful number, since it uses less digits than its factorization.

204085980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 204085980 is about 14285.8664420468. The cubic root of 204085980 is about 588.7592233534.

The spelling of 204085980 in words is "two hundred four million, eighty-five thousand, nine hundred eighty".