204939600 has 120 divisors (see below), whose sum is σ = 666549600. Its totient is φ = 53813760.

The previous prime is 204939571. The next prime is 204939601. The reversal of 204939600 is 6939402.

204939600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204939601) 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, 79126 + ... + 81674.

It is an arithmetic number, because the mean of its divisors is an integer number (5554580).

Almost surely, 2^204939600 is an apocalyptic number.

204939600 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 204939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333274800).

204939600 is an abundant number, since it is smaller than the sum of its proper divisors (461610000).

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

204939600 is a wasteful number, since it uses less digits than its factorization.

204939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 204939600 is about 14315.7116483953. The cubic root of 204939600 is about 589.5789392584.

The spelling of 204939600 in words is "two hundred four million, nine hundred thirty-nine thousand, six hundred".