680087016 has 160 divisors (see below), whose sum is σ = 2189499840. Its totient is φ = 193995648.

The previous prime is 680086999. The next prime is 680087017. The reversal of 680087016 is 610780086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (680087017) 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 39 ways as a sum of consecutive naturals, for example, 1101940 + ... + 1102556.

It is an arithmetic number, because the mean of its divisors is an integer number (13684374).

Almost surely, 2^680087016 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 680087016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094749920).

680087016 is an abundant number, since it is smaller than the sum of its proper divisors (1509412824).

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

680087016 is an frugal number, since it uses more digits than its factorization.

680087016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 680087016 is about 26078.4780230749. The cubic root of 680087016 is about 879.4034420995.

The spelling of 680087016 in words is "six hundred eighty million, eighty-seven thousand, sixteen".