205200560 has 20 divisors (see below), whose sum is σ = 477091488. Its totient is φ = 82080192.

The previous prime is 205200559. The next prime is 205200571. The reversal of 205200560 is 65002502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1282424 + ... + 1282583.

Almost surely, 2^205200560 is an apocalyptic number.

205200560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205200560 is an abundant number, since it is smaller than the sum of its proper divisors (271890928).

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

205200560 is a wasteful number, since it uses less digits than its factorization.

205200560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565020 (or 2565014 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205200560 is about 14324.8232100784. The cubic root of 205200560 is about 589.8290800506.

The spelling of 205200560 in words is "two hundred five million, two hundred thousand, five hundred sixty".