1680387984 has 480 divisors, whose sum is σ = 5889623040. Its totient is φ = 456192000.

The previous prime is 1680387983. The next prime is 1680387991. The reversal of 1680387984 is 4897830861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 1680387984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680387983) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27547314 + ... + 27547374.

It is an arithmetic number, because the mean of its divisors is an integer number (12270048).

Almost surely, 2^1680387984 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 1680387984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944811520).

1680387984 is an abundant number, since it is smaller than the sum of its proper divisors (4209235056).

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

1680387984 is a wasteful number, since it uses less digits than its factorization.

1680387984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1680387984 is about 40992.5357107852. The cubic root of 1680387984 is about 1188.8758972633.

The spelling of 1680387984 in words is "one billion, six hundred eighty million, three hundred eighty-seven thousand, nine hundred eighty-four".