1680651960 has 256 divisors, whose sum is σ = 5806080000. Its totient is φ = 385523712.

The previous prime is 1680651893. The next prime is 1680651961. The reversal of 1680651960 is 691560861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680651961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3367791 + ... + 3368289.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^1680651960 is an apocalyptic number.

1680651960 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 1680651960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040000).

1680651960 is an abundant number, since it is smaller than the sum of its proper divisors (4125428040).

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

1680651960 is a wasteful number, since it uses less digits than its factorization.

1680651960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1680651960 is about 40995.7553900401. The cubic root of 1680651960 is about 1188.9381484169.

The spelling of 1680651960 in words is "one billion, six hundred eighty million, six hundred fifty-one thousand, nine hundred sixty".