680584 has 16 divisors (see below), whose sum is σ = 1285020. Its totient is φ = 337920.

The previous prime is 680569. The next prime is 680587. The reversal of 680584 is 485086.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 4900 = 822^2 + 70^2 .

It is not an unprimeable number, because it can be changed into a prime (680587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1752 + ... + 2104.

2⁶⁸⁰⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

680584 is a deficient number, since it is larger than the sum of its proper divisors (604436).

680584 is a wasteful number, since it uses less digits than its factorization.

680584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 680584 is about 824.9751511409. The cubic root of 680584 is about 87.9617602451.

It can be divided in two parts, 6805 and 84, that added together give a square (6889 = 83²).

The spelling of 680584 in words is "six hundred eighty thousand, five hundred eighty-four".