680088002 has 48 divisors (see below), whose sum is σ = 1149033816. Its totient is φ = 301593600.

The previous prime is 680087999. The next prime is 680088007. The reversal of 680088002 is 200880086.

It can be written as a sum of positive squares in 4 ways, for example, as 646227241 + 33860761 = 25421^2 + 5819^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 680088002.

It is not an unprimeable number, because it can be changed into a prime (680088007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2420102 + ... + 2420382.

Almost surely, 2^680088002 is an apocalyptic number.

680088002 is a deficient number, since it is larger than the sum of its proper divisors (468945814).

680088002 is a wasteful number, since it uses less digits than its factorization.

680088002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 680088002 is about 26078.4969275455. The cubic root of 680088002 is about 879.4038670899.

It can be divided in two parts, 6 and 80088002, that added together give a palindrome (80088008).

The spelling of 680088002 in words is "six hundred eighty million, eighty-eight thousand, two".