206800 has 60 divisors (see below), whose sum is σ = 553536. Its totient is φ = 73600.

The previous prime is 206783. The next prime is 206803. The reversal of 206800 is 8602.

206800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206803) by changing a digit.

206800 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 11 ways as a sum of consecutive naturals, for example, 4377 + ... + 4423.

2²⁰⁶⁸⁰⁰ is an apocalyptic number.

206800 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 206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768).

206800 is an abundant number, since it is smaller than the sum of its proper divisors (346736).

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

206800 is a wasteful number, since it uses less digits than its factorization.

206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 206800 is about 454.7526800361. The cubic root of 206800 is about 59.1357593871.

The spelling of 206800 in words is "two hundred six thousand, eight hundred".