205760 has 28 divisors (see below), whose sum is σ = 490728. Its totient is φ = 82176.

The previous prime is 205759. The next prime is 205763. The reversal of 205760 is 67502.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205763) 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, 2 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (17526).

2²⁰⁵⁷⁶⁰ is an apocalyptic number.

205760 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 205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245364).

205760 is an abundant number, since it is smaller than the sum of its proper divisors (284968).

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

205760 is an equidigital number, since it uses as much as digits as its factorization.

205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 205760 is about 453.6077600747. The cubic root of 205760 is about 59.0364612318.

The spelling of 205760 in words is "two hundred five thousand, seven hundred sixty".