204039720 has 96 divisors (see below), whose sum is σ = 665818920. Its totient is φ = 54190080.

The previous prime is 204039707. The next prime is 204039721. The reversal of 204039720 is 27930402.

It can be written as a sum of positive squares in 4 ways, for example, as 197290116 + 6749604 = 14046^2 + 2598^2 .

It is not an unprimeable number, because it can be changed into a prime (204039721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100152 + ... + 102168.

Almost surely, 2^204039720 is an apocalyptic number.

204039720 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 204039720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332909460).

204039720 is an abundant number, since it is smaller than the sum of its proper divisors (461779200).

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

204039720 is a wasteful number, since it uses less digits than its factorization.

204039720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 204039720 is about 14284.2472675322. The cubic root of 204039720 is about 588.7147354701.

The spelling of 204039720 in words is "two hundred four million, thirty-nine thousand, seven hundred twenty".