680685 has 16 divisors (see below), whose sum is σ = 1137024. Its totient is φ = 347072.

The previous prime is 680681. The next prime is 680707. The reversal of 680685 is 586086.

680685 = 271² + 272² + ... + 279².

It is a cyclic number.

It is not a de Polignac number, because 680685 - 2² = 680681 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680681) 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 15 ways as a sum of consecutive naturals, for example, 642 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (71064).

2⁶⁸⁰⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

680685 is a deficient number, since it is larger than the sum of its proper divisors (456339).

680685 is a wasteful number, since it uses less digits than its factorization.

680685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 680685 is about 825.0363628350. The cubic root of 680685 is about 87.9661112624.

The spelling of 680685 in words is "six hundred eighty thousand, six hundred eighty-five".