1680338016 has 144 divisors (see below), whose sum is σ = 5504937984. Its totient is φ = 476243712.

The previous prime is 1680338003. The next prime is 1680338063. The reversal of 1680338016 is 6108330861.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 252751 + ... + 259313.

It is an arithmetic number, because the mean of its divisors is an integer number (38228736).

Almost surely, 2^1680338016 is an apocalyptic number.

1680338016 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 1680338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752468992).

1680338016 is an abundant number, since it is smaller than the sum of its proper divisors (3824599968).

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

1680338016 is a wasteful number, since it uses less digits than its factorization.

1680338016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1680338016 is about 40991.9262294418. The cubic root of 1680338016 is about 1188.8641130126.

Adding to 1680338016 its reverse (6108330861), we get a palindrome (7788668877).

The spelling of 1680338016 in words is "one billion, six hundred eighty million, three hundred thirty-eight thousand, sixteen".