680850 has 72 divisors (see below), whose sum is σ = 1958580. Its totient is φ = 168960.

The previous prime is 680831. The next prime is 680857. The reversal of 680850 is 58086.

It can be written as a sum of positive squares in 6 ways, for example, as 233289 + 447561 = 483^2 + 669^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680857) by changing a digit.

680850 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 35 ways as a sum of consecutive naturals, for example, 7606 + ... + 7694.

2⁶⁸⁰⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979290).

680850 is an abundant number, since it is smaller than the sum of its proper divisors (1277730).

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

680850 is a wasteful number, since it uses less digits than its factorization.

680850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 680850 is about 825.1363523685. The cubic root of 680850 is about 87.9732184343.

The spelling of 680850 in words is "six hundred eighty thousand, eight hundred fifty".