205860 has 48 divisors (see below), whose sum is σ = 596736. Its totient is φ = 52992.

The previous prime is 205847. The next prime is 205879. The reversal of 205860 is 68502.

It is a happy number.

205860 is nontrivially palindromic in base 9.

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, 2784 + ... + 2856.

It is an arithmetic number, because the mean of its divisors is an integer number (12432).

2²⁰⁵⁸⁶⁰ is an apocalyptic number.

205860 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 205860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298368).

205860 is an abundant number, since it is smaller than the sum of its proper divisors (390876).

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

205860 is a wasteful number, since it uses less digits than its factorization.

205860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205860 is about 453.7179740764. The cubic root of 205860 is about 59.0460236508.

The spelling of 205860 in words is "two hundred five thousand, eight hundred sixty".