1680200 has 48 divisors (see below), whose sum is σ = 4047360. Its totient is φ = 648000.

The previous prime is 1680191. The next prime is 1680247. The reversal of 1680200 is 20861.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6065 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (84320).

2^1680200 is an apocalyptic number.

1680200 is a gapful number since it is divisible by the number (10) 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 1680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023680).

1680200 is an abundant number, since it is smaller than the sum of its proper divisors (2367160).

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

1680200 is a wasteful number, since it uses less digits than its factorization.

1680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1680200 is about 1296.2252890605. The cubic root of 1680200 is about 118.8831562665.

The spelling of 1680200 in words is "one million, six hundred eighty thousand, two hundred".