205085360 has 40 divisors (see below), whose sum is σ = 481472160. Its totient is φ = 81234432.

The previous prime is 205085359. The next prime is 205085371. The reversal of 205085360 is 63580502.

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, 4205 + ... + 20684.

It is an arithmetic number, because the mean of its divisors is an integer number (12036804).

Almost surely, 2^205085360 is an apocalyptic number.

205085360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205085360 is an abundant number, since it is smaller than the sum of its proper divisors (276386800).

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

205085360 is a wasteful number, since it uses less digits than its factorization.

205085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005 (or 24999 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 205085360 is about 14320.8016535388. The cubic root of 205085360 is about 589.7186823184.

The spelling of 205085360 in words is "two hundred five million, eighty-five thousand, three hundred sixty".