680084009 has 6 divisors (see below), whose sum is σ = 747530490. Its totient is φ = 618258080.

The previous prime is 680084003. The next prime is 680084039. The reversal of 680084009 is 900480086.

It can be written as a sum of positive squares in only one way, i.e., 484000000 + 196084009 = 22000^2 + 14003^2 .

It is not a de Polignac number, because 680084009 - 2⁴ = 680083993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 680084009.

It is not an unprimeable number, because it can be changed into a prime (680084003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2810144 + ... + 2810385.

It is an arithmetic number, because the mean of its divisors is an integer number (124588415).

Almost surely, 2^680084009 is an apocalyptic number.

It is an amenable number.

680084009 is a deficient number, since it is larger than the sum of its proper divisors (67446481).

680084009 is a wasteful number, since it uses less digits than its factorization.

680084009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620551 (or 5620540 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 680084009 is about 26078.4203701068. The cubic root of 680084009 is about 879.4021460055.

It can be divided in two parts, 6800 and 84009, that added together give a palindrome (90809).

The spelling of 680084009 in words is "six hundred eighty million, eighty-four thousand, nine".