206980 has 24 divisors (see below), whose sum is σ = 443520. Its totient is φ = 81120.

The previous prime is 206953. The next prime is 206993. The reversal of 206980 is 89602.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2²⁰⁶⁹⁸⁰ is an apocalyptic number.

206980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206980 is an abundant number, since it is smaller than the sum of its proper divisors (236540).

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

206980 is a wasteful number, since it uses less digits than its factorization.

206980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 206980 is about 454.9505467631. The cubic root of 206980 is about 59.1529117886.

Subtracting from 206980 its product of nonzero digits (864), we obtain a square (206116 = 454²).

The spelling of 206980 in words is "two hundred six thousand, nine hundred eighty".