1680505568 has 72 divisors (see below), whose sum is σ = 3877245792. Its totient is φ = 714868224.

The previous prime is 1680505523. The next prime is 1680505579. The reversal of 1680505568 is 8655050861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210905 + ... + 218727.

It is an arithmetic number, because the mean of its divisors is an integer number (53850636).

Almost surely, 2^1680505568 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 1680505568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938622896).

1680505568 is an abundant number, since it is smaller than the sum of its proper divisors (2196740224).

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

1680505568 is a wasteful number, since it uses less digits than its factorization.

1680505568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 44.

The square root of 1680505568 is about 40993.9698980228. The cubic root of 1680505568 is about 1188.9036268758.

The spelling of 1680505568 in words is "one billion, six hundred eighty million, five hundred five thousand, five hundred sixty-eight".