205205960 has 32 divisors (see below), whose sum is σ = 463053240. Its totient is φ = 81844224.

The previous prime is 205205941. The next prime is 205205969. The reversal of 205205960 is 69502502.

It can be written as a sum of positive squares in 4 ways, for example, as 162460516 + 42745444 = 12746^2 + 6538^2 .

It is not an unprimeable number, because it can be changed into a prime (205205969) by changing a digit.

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, 6854 + ... + 21386.

Almost surely, 2^205205960 is an apocalyptic number.

205205960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205205960 is an abundant number, since it is smaller than the sum of its proper divisors (257847280).

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

205205960 is a wasteful number, since it uses less digits than its factorization.

205205960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 205205960 is about 14325.0116928399. The cubic root of 205205960 is about 589.8342539304.

The spelling of 205205960 in words is "two hundred five million, two hundred five thousand, nine hundred sixty".