680591727 has 48 divisors (see below), whose sum is σ = 1065617280. Its totient is φ = 433644192.

The previous prime is 680591641. The next prime is 680591731. The reversal of 680591727 is 727195086.

It is not a de Polignac number, because 680591727 - 2⁷ = 680591599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680591777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529828 + ... + 531110.

It is an arithmetic number, because the mean of its divisors is an integer number (22200360).

Almost surely, 2^680591727 is an apocalyptic number.

680591727 is a deficient number, since it is larger than the sum of its proper divisors (385025553).

680591727 is a wasteful number, since it uses less digits than its factorization.

680591727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 680591727 is about 26088.1530009313. The cubic root of 680591727 is about 879.6209313468.

The spelling of 680591727 in words is "six hundred eighty million, five hundred ninety-one thousand, seven hundred twenty-seven".