1680585321 has 64 divisors (see below), whose sum is σ = 2552186880. Its totient is φ = 981249984.

The previous prime is 1680585317. The next prime is 1680585329. The reversal of 1680585321 is 1235850861.

It is not a de Polignac number, because 1680585321 - 2² = 1680585317 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1680585321.

It is not an unprimeable number, because it can be changed into a prime (1680585329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25083330 + ... + 25083396.

It is an arithmetic number, because the mean of its divisors is an integer number (39877920).

Almost surely, 2^1680585321 is an apocalyptic number.

It is an amenable number.

1680585321 is a deficient number, since it is larger than the sum of its proper divisors (871601559).

1680585321 is an equidigital number, since it uses as much as digits as its factorization.

1680585321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 1680585321 is about 40994.9426271095. The cubic root of 1680585321 is about 1188.9224341389.

The spelling of 1680585321 in words is "one billion, six hundred eighty million, five hundred eighty-five thousand, three hundred twenty-one".