205660 has 48 divisors (see below), whose sum is σ = 536256. Its totient is φ = 64512.

The previous prime is 205657. The next prime is 205661. The reversal of 205660 is 66502.

205660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764 + ... + 1876.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2²⁰⁵⁶⁶⁰ is an apocalyptic number.

205660 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 205660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

205660 is an abundant number, since it is smaller than the sum of its proper divisors (330596).

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

205660 is a wasteful number, since it uses less digits than its factorization.

205660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 205660 is about 453.4975192876. The cubic root of 205660 is about 59.0268957141.

It can be divided in two parts, 2056 and 60, that added together give a square (2116 = 46²).

The spelling of 205660 in words is "two hundred five thousand, six hundred sixty".