1680338017 has 32 divisors (see below), whose sum is σ = 1862668800. Its totient is φ = 1510161408.

The previous prime is 1680338003. The next prime is 1680338063. The reversal of 1680338017 is 7108330861.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1680338017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_1680338016.

It is not an unprimeable number, because it can be changed into a prime (1680338617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7030584 + ... + 7030822.

It is an arithmetic number, because the mean of its divisors is an integer number (58208400).

Almost surely, 2^1680338017 is an apocalyptic number.

It is an amenable number.

1680338017 is a deficient number, since it is larger than the sum of its proper divisors (182330783).

1680338017 is a wasteful number, since it uses less digits than its factorization.

1680338017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1680338017 is about 40991.9262416393. The cubic root of 1680338017 is about 1188.8641132484.

Adding to 1680338017 its reverse (7108330861), we get a palindrome (8788668878).

The spelling of 1680338017 in words is "one billion, six hundred eighty million, three hundred thirty-eight thousand, seventeen".