205200820 has 48 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 73349120.

The previous prime is 205200799. The next prime is 205200847. The reversal of 205200820 is 28002502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5076 + ... + 20884.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^205200820 is an apocalyptic number.

205200820 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 205200820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

205200820 is an abundant number, since it is smaller than the sum of its proper divisors (272893580).

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

205200820 is a wasteful number, since it uses less digits than its factorization.

205200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 205200820 is about 14324.8322852311. The cubic root of 205200820 is about 589.8293291654.

The spelling of 205200820 in words is "two hundred five million, two hundred thousand, eight hundred twenty".