682200 has 72 divisors (see below), whose sum is σ = 2297100. Its totient is φ = 181440.

The previous prime is 682183. The next prime is 682207. The reversal of 682200 is 2286.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682207) by changing a digit.

682200 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 17 ways as a sum of consecutive naturals, for example, 1611 + ... + 1989.

2⁶⁸²²⁰⁰ is an apocalyptic number.

682200 is a gapful number since it is divisible by the number (60) 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 682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148550).

682200 is an abundant number, since it is smaller than the sum of its proper divisors (1614900).

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

682200 is a wasteful number, since it uses less digits than its factorization.

682200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 682200 is about 825.9539938762. The cubic root of 682200 is about 88.0313249362.

Adding to 682200 its reverse (2286), we get a palindrome (684486).

The spelling of 682200 in words is "six hundred eighty-two thousand, two hundred".