680630849 has 2 divisors, whose sum is σ = 680630850. Its totient is φ = 680630848.

The previous prime is 680630843. The next prime is 680630851. The reversal of 680630849 is 948036086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 465480625 + 215150224 = 21575^2 + 14668^2 .

It is a cyclic number.

It is not a de Polignac number, because 680630849 - 2²⁴ = 663853633 is a prime.

It is a super-2 number, since 2×680630849² = 926516705220921602, which contains 22 as substring.

Together with 680630851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (680630843) 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 as a sum of consecutive naturals, namely, 340315424 + 340315425.

It is an arithmetic number, because the mean of its divisors is an integer number (340315425).

Almost surely, 2^680630849 is an apocalyptic number.

It is an amenable number.

680630849 is a deficient number, since it is larger than the sum of its proper divisors (1).

680630849 is an equidigital number, since it uses as much as digits as its factorization.

680630849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 680630849 is about 26088.9027941000. The cubic root of 680630849 is about 879.6377852448.

The spelling of 680630849 in words is "six hundred eighty million, six hundred thirty thousand, eight hundred forty-nine".