680727 has 8 divisors (see below), whose sum is σ = 916864. Its totient is φ = 449208.

The previous prime is 680707. The next prime is 680749. The reversal of 680727 is 727086.

680727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-680727 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 680694 and 680703.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680727.

It is not an unprimeable number, because it can be changed into a prime (680707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (114608).

2⁶⁸⁰⁷²⁷ is an apocalyptic number.

680727 is a deficient number, since it is larger than the sum of its proper divisors (236137).

680727 is a wasteful number, since it uses less digits than its factorization.

680727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 680727 is about 825.0618158659. The cubic root of 680727 is about 87.9679204697.

The spelling of 680727 in words is "six hundred eighty thousand, seven hundred twenty-seven".