1680088960 has 64 divisors (see below), whose sum is σ = 4381614000. Its totient is φ = 610938880.

The previous prime is 1680088909. The next prime is 1680088961. The reversal of 1680088960 is 698800861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1680088960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680088961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112285 + ... + 126364.

Almost surely, 2^1680088960 is an apocalyptic number.

1680088960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680088960 is an abundant number, since it is smaller than the sum of its proper divisors (2701525040).

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

1680088960 is a wasteful number, since it uses less digits than its factorization.

1680088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238679 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1680088960 is about 40988.8882503539. Note that the first 3 decimals coincide. The cubic root of 1680088960 is about 1188.8053731702.

The spelling of 1680088960 in words is "one billion, six hundred eighty million, eighty-eight thousand, nine hundred sixty".