204005620 has 144 divisors (see below), whose sum is σ = 546981120. Its totient is φ = 63334656.

The previous prime is 204005609. The next prime is 204005629. The reversal of 204005620 is 26500402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204005629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853461 + ... + 853699.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480).

Almost surely, 2^204005620 is an apocalyptic number.

204005620 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 204005620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560).

204005620 is an abundant number, since it is smaller than the sum of its proper divisors (342975500).

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

204005620 is a wasteful number, since it uses less digits than its factorization.

204005620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 204005620 is about 14283.0535950825. The cubic root of 204005620 is about 588.6819374591.

The spelling of 204005620 in words is "two hundred four million, five thousand, six hundred twenty".