206180 has 36 divisors (see below), whose sum is σ = 476532. Its totient is φ = 74880.

The previous prime is 206179. The next prime is 206183. The reversal of 206180 is 81602.

It can be written as a sum of positive squares in 6 ways, for example, as 98596 + 107584 = 314^2 + 328^2 .

It is not an unprimeable number, because it can be changed into a prime (206183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3350 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (13237).

2²⁰⁶¹⁸⁰ is an apocalyptic number.

206180 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 206180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238266).

206180 is an abundant number, since it is smaller than the sum of its proper divisors (270352).

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

206180 is a wasteful number, since it uses less digits than its factorization.

206180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 206180 is about 454.0704791109. The cubic root of 206180 is about 59.0766025971.

Adding to 206180 its reverse (81602), we get a palindrome (287782).

The spelling of 206180 in words is "two hundred six thousand, one hundred eighty".