205906580 has 48 divisors (see below), whose sum is σ = 492234624. Its totient is φ = 71617920.

The previous prime is 205906549. The next prime is 205906607. The reversal of 205906580 is 85609502.

It is a self number, because there is not a number n which added to its sum of digits gives 205906580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15287 + ... + 25406.

It is an arithmetic number, because the mean of its divisors is an integer number (10254888).

Almost surely, 2^205906580 is an apocalyptic number.

205906580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205906580 is an abundant number, since it is smaller than the sum of its proper divisors (286328044).

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

205906580 is a wasteful number, since it uses less digits than its factorization.

205906580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40736 (or 40734 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 205906580 is about 14349.4452854457. The cubic root of 205906580 is about 590.5047676840.

The spelling of 205906580 in words is "two hundred five million, nine hundred six thousand, five hundred eighty".