206832 has 40 divisors (see below), whose sum is σ = 555520. Its totient is φ = 66240.

The previous prime is 206827. The next prime is 206879. The reversal of 206832 is 238602.

It is a junction number, because it is equal to n+sod(n) for n = 206799 and 206808.

It is a congruent 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, 1419 + ... + 1557.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2²⁰⁶⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277760).

206832 is an abundant number, since it is smaller than the sum of its proper divisors (348688).

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

206832 is a wasteful number, since it uses less digits than its factorization.

206832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 206832 is about 454.7878626349. The cubic root of 206832 is about 59.1388094302.

The spelling of 206832 in words is "two hundred six thousand, eight hundred thirty-two".