1680855680 has 128 divisors (see below), whose sum is σ = 4704860160. Its totient is φ = 562176000.

The previous prime is 1680855679. The next prime is 1680855703. The reversal of 1680855680 is 865580861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179105 + ... + 188255.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720).

Almost surely, 2^1680855680 is an apocalyptic number.

1680855680 is a gapful number since it is divisible by the number (10) 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 1680855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352430080).

1680855680 is an abundant number, since it is smaller than the sum of its proper divisors (3024004480).

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

1680855680 is an equidigital number, since it uses as much as digits as its factorization.

1680855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The square root of 1680855680 is about 40998.2399622228. The cubic root of 1680855680 is about 1188.9861854683.

The spelling of 1680855680 in words is "one billion, six hundred eighty million, eight hundred fifty-five thousand, six hundred eighty".