205900720 has 40 divisors (see below), whose sum is σ = 503918640. Its totient is φ = 78024960.

The previous prime is 205900703. The next prime is 205900733. The reversal of 205900720 is 27009502.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 66211 + ... + 69250.

It is an arithmetic number, because the mean of its divisors is an integer number (12597966).

Almost surely, 2^205900720 is an apocalyptic number.

205900720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205900720 is an abundant number, since it is smaller than the sum of its proper divisors (298017920).

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

205900720 is a wasteful number, since it uses less digits than its factorization.

205900720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135493 (or 135487 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 205900720 is about 14349.2410949151. The cubic root of 205900720 is about 590.4991658057.

The spelling of 205900720 in words is "two hundred five million, nine hundred thousand, seven hundred twenty".