680009 has 4 divisors (see below), whose sum is σ = 741840. Its totient is φ = 618180.

The previous prime is 680003. The next prime is 680027. The reversal of 680009 is 900086.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 680009 - 2⁴ = 679993 is a prime.

It is a super-3 number, since 3×680009³ = 943333454895722187, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (680003) 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, 30899 + ... + 30920.

It is an arithmetic number, because the mean of its divisors is an integer number (185460).

2⁶⁸⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

680009 is a deficient number, since it is larger than the sum of its proper divisors (61831).

680009 is a wasteful number, since it uses less digits than its factorization.

680009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61830.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 680009 is about 824.6265821570. The cubic root of 680009 is about 87.9369813970.

The spelling of 680009 in words is "six hundred eighty thousand, nine".