205680260 has 48 divisors (see below), whose sum is σ = 453261312. Its totient is φ = 78249600.

The previous prime is 205680253. The next prime is 205680281. The reversal of 205680260 is 62086502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86690 + ... + 89030.

It is an arithmetic number, because the mean of its divisors is an integer number (9442944).

Almost surely, 2^205680260 is an apocalyptic number.

205680260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205680260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226630656).

205680260 is an abundant number, since it is smaller than the sum of its proper divisors (247581052).

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

205680260 is a wasteful number, since it uses less digits than its factorization.

205680260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 205680260 is about 14341.5570981675. The cubic root of 205680260 is about 590.2883393842.

The spelling of 205680260 in words is "two hundred five million, six hundred eighty thousand, two hundred sixty".