1680068016 has 120 divisors (see below), whose sum is σ = 5238664704. Its totient is φ = 498257280.

The previous prime is 1680067973. The next prime is 1680068017. The reversal of 1680068016 is 6108600861.

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

It is not an unprimeable number, because it can be changed into a prime (1680068017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63165 + ... + 85731.

Almost surely, 2^1680068016 is an apocalyptic number.

1680068016 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 1680068016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619332352).

1680068016 is an abundant number, since it is smaller than the sum of its proper divisors (3558596688).

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

1680068016 is a wasteful number, since it uses less digits than its factorization.

1680068016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22639 (or 22630 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1680068016 is about 40988.6327656827. The cubic root of 1680068016 is about 1188.8004332645.

Adding to 1680068016 its reverse (6108600861), we get a palindrome (7788668877).

The spelling of 1680068016 in words is "one billion, six hundred eighty million, sixty-eight thousand, sixteen".