680020 has 36 divisors (see below), whose sum is σ = 1575252. Its totient is φ = 246400.

The previous prime is 680003. The next prime is 680027. The reversal of 680020 is 20086.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 327184 = 594^2 + 572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 679976 and 680003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680027) by changing a digit.

680020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2280 + ... + 2560.

It is an arithmetic number, because the mean of its divisors is an integer number (43757).

2⁶⁸⁰⁰²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787626).

680020 is an abundant number, since it is smaller than the sum of its proper divisors (895232).

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

680020 is a wasteful number, since it uses less digits than its factorization.

680020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

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

The square root of 680020 is about 824.6332518156. The cubic root of 680020 is about 87.9374555582.

The spelling of 680020 in words is "six hundred eighty thousand, twenty".