1680884016 has 80 divisors (see below), whose sum is σ = 5011845888. Its totient is φ = 475488000.

The previous prime is 1680884003. The next prime is 1680884017. The reversal of 1680884016 is 6104880861.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1680884017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9171 + ... + 58701.

Almost surely, 2^1680884016 is an apocalyptic number.

1680884016 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 1680884016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505922944).

1680884016 is an abundant number, since it is smaller than the sum of its proper divisors (3330961872).

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

1680884016 is a wasteful number, since it uses less digits than its factorization.

1680884016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49650 (or 49644 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1680884016 is about 40998.5855365767. The cubic root of 1680884016 is about 1188.9928667723.

The spelling of 1680884016 in words is "one billion, six hundred eighty million, eight hundred eighty-four thousand, sixteen".