208200 has 48 divisors (see below), whose sum is σ = 647280. Its totient is φ = 55360.

The previous prime is 208189. The next prime is 208207. The reversal of 208200 is 2802.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208200.

It is not an unprimeable number, because it can be changed into a prime (208207) by changing a digit.

208200 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, 427 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (13485).

2²⁰⁸²⁰⁰ is an apocalyptic number.

208200 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 208200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640).

208200 is an abundant number, since it is smaller than the sum of its proper divisors (439080).

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

208200 is a wasteful number, since it uses less digits than its factorization.

208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 208200 is about 456.2893818620. The cubic root of 208200 is about 59.2689056442.

The spelling of 208200 in words is "two hundred eight thousand, two hundred".