1680284216 has 128 divisors (see below), whose sum is σ = 3732583680. Its totient is φ = 702038016.

The previous prime is 1680284189. The next prime is 1680284231. The reversal of 1680284216 is 6124820861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1680284216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6065870 + ... + 6066146.

It is an arithmetic number, because the mean of its divisors is an integer number (29160810).

Almost surely, 2^1680284216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680284216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866291840).

1680284216 is an abundant number, since it is smaller than the sum of its proper divisors (2052299464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1680284216 is a wasteful number, since it uses less digits than its factorization.

1680284216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1680284216 is about 40991.2699974031. The cubic root of 1680284216 is about 1188.8514247774.

The spelling of 1680284216 in words is "one billion, six hundred eighty million, two hundred eighty-four thousand, two hundred sixteen".