1680568416 has 144 divisors (see below), whose sum is σ = 5122432224. Its totient is φ = 521275392.

The previous prime is 1680568397. The next prime is 1680568447. The reversal of 1680568416 is 6148650861.

1680568416 is a `hidden beast` number, since 1 + 6 + 80 + 568 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241660 + ... + 248516.

It is an arithmetic number, because the mean of its divisors is an integer number (35572446).

Almost surely, 2^1680568416 is an apocalyptic number.

1680568416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561216112).

1680568416 is an abundant number, since it is smaller than the sum of its proper divisors (3441863808).

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

1680568416 is a wasteful number, since it uses less digits than its factorization.

1680568416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1680568416 is about 40994.7364426215. The cubic root of 1680568416 is about 1188.9184476704.

The spelling of 1680568416 in words is "one billion, six hundred eighty million, five hundred sixty-eight thousand, four hundred sixteen".