1680330960 has 320 divisors, whose sum is σ = 7216680960. Its totient is φ = 349125120.

The previous prime is 1680330937. The next prime is 1680330997. The reversal of 1680330960 is 690330861.

It is a happy number.

It is a super-3 number, since 3×1680330960³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 161269 + ... + 171371.

It is an arithmetic number, because the mean of its divisors is an integer number (22552128).

Almost surely, 2^1680330960 is an apocalyptic number.

1680330960 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 1680330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608340480).

1680330960 is an abundant number, since it is smaller than the sum of its proper divisors (5536350000).

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

1680330960 is a wasteful number, since it uses less digits than its factorization.

1680330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1680330960 is about 40991.8401636228. The cubic root of 1680330960 is about 1188.8624489353.

Subtracting from 1680330960 its reverse (690330861), we obtain a palindrome (990000099).

The spelling of 1680330960 in words is "one billion, six hundred eighty million, three hundred thirty thousand, nine hundred sixty".