206580 has 48 divisors (see below), whose sum is σ = 633024. Its totient is φ = 49920.

The previous prime is 206551. The next prime is 206593. The reversal of 206580 is 85602.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

206580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (13188).

2²⁰⁶⁵⁸⁰ is an apocalyptic number.

206580 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 206580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316512).

206580 is an abundant number, since it is smaller than the sum of its proper divisors (426444).

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

206580 is a wasteful number, since it uses less digits than its factorization.

206580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

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

The square root of 206580 is about 454.5107259460. The cubic root of 206580 is about 59.1147818191.

It can be divided in two parts, 2065 and 80, that added together give a triangular number (2145 = T₆₅).

The spelling of 206580 in words is "two hundred six thousand, five hundred eighty".