204084120 has 128 divisors (see below), whose sum is σ = 628689600. Its totient is φ = 52985856.

The previous prime is 204084071. The next prime is 204084131. The reversal of 204084120 is 21480402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035862 + ... + 1036058.

Almost surely, 2^204084120 is an apocalyptic number.

204084120 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 204084120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314344800).

204084120 is an abundant number, since it is smaller than the sum of its proper divisors (424605480).

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

204084120 is a wasteful number, since it uses less digits than its factorization.

204084120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 204084120 is about 14285.8013425919. The cubic root of 204084120 is about 588.7574347356.

The spelling of 204084120 in words is "two hundred four million, eighty-four thousand, one hundred twenty".