680816040 has 64 divisors (see below), whose sum is σ = 2046418560. Its totient is φ = 181198080.

The previous prime is 680815991. The next prime is 680816041. The reversal of 680816040 is 40618086.

It is a junction number, because it is equal to n+sod(n) for n = 680815992 and 680816010.

It is not an unprimeable number, because it can be changed into a prime (680816041) 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, 59677 + ... + 70163.

It is an arithmetic number, because the mean of its divisors is an integer number (31975290).

Almost surely, 2^680816040 is an apocalyptic number.

680816040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680816040 is an abundant number, since it is smaller than the sum of its proper divisors (1365602520).

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

680816040 is a wasteful number, since it uses less digits than its factorization.

680816040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 680816040 is about 26092.4517820767. The cubic root of 680816040 is about 879.7175574293.

The spelling of 680816040 in words is "six hundred eighty million, eight hundred sixteen thousand, forty".