205880 has 16 divisors (see below), whose sum is σ = 463320. Its totient is φ = 82336.

The previous prime is 205879. The next prime is 205883. The reversal of 205880 is 88502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205880.

It is not an unprimeable number, because it can be changed into a prime (205883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2534 + ... + 2613.

2²⁰⁵⁸⁸⁰ is an apocalyptic number.

205880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205880 is an abundant number, since it is smaller than the sum of its proper divisors (257440).

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

205880 is a wasteful number, since it uses less digits than its factorization.

205880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 205880 is about 453.7400136642. The cubic root of 205880 is about 59.0479357630.

The spelling of 205880 in words is "two hundred five thousand, eight hundred eighty".