680558020 has 48 divisors (see below), whose sum is σ = 1472693040. Its totient is φ = 263983104.

The previous prime is 680557967. The next prime is 680558023. The reversal of 680558020 is 20855086.

It can be written as a sum of positive squares in 8 ways, for example, as 73034116 + 607523904 = 8546^2 + 24648^2 .

It is not an unprimeable number, because it can be changed into a prime (680558023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248016 + ... + 250744.

It is an arithmetic number, because the mean of its divisors is an integer number (30681105).

Almost surely, 2^680558020 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 680558020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736346520).

680558020 is an abundant number, since it is smaller than the sum of its proper divisors (792135020).

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

680558020 is a wasteful number, since it uses less digits than its factorization.

680558020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 680558020 is about 26087.5069717288. The cubic root of 680558020 is about 879.6064097322.

The spelling of 680558020 in words is "six hundred eighty million, five hundred fifty-eight thousand, twenty".