1680005307 has 8 divisors (see below), whose sum is σ = 2337398784. Its totient is φ = 1071307688.

The previous prime is 1680005287. The next prime is 1680005357. The reversal of 1680005307 is 7035000861.

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

It is a cyclic number.

It is not a de Polignac number, because 1680005307 - 2¹⁶ = 1679939771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1680005357) 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, 12173883 + ... + 12174020.

It is an arithmetic number, because the mean of its divisors is an integer number (292174848).

Almost surely, 2^1680005307 is an apocalyptic number.

1680005307 is a deficient number, since it is larger than the sum of its proper divisors (657393477).

1680005307 is a wasteful number, since it uses less digits than its factorization.

1680005307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24347929.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1680005307 is about 40987.8678025584. The cubic root of 1680005307 is about 1188.7856423130.

The spelling of 1680005307 in words is "one billion, six hundred eighty million, five thousand, three hundred seven".