1680271760 has 20 divisors (see below), whose sum is σ = 3906632028. Its totient is φ = 672108672.

The previous prime is 1680271759. The next prime is 1680271763. The reversal of 1680271760 is 671720861.

It can be written as a sum of positive squares in 2 ways, for example, as 793661584 + 886610176 = 28172^2 + 29776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1680271763) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10501619 + ... + 10501778.

Almost surely, 2^1680271760 is an apocalyptic number.

1680271760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680271760 is an abundant number, since it is smaller than the sum of its proper divisors (2226360268).

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

1680271760 is a wasteful number, since it uses less digits than its factorization.

1680271760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21003410 (or 21003404 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 1680271760 is about 40991.1180623315. The cubic root of 1680271760 is about 1188.8484871057.

The spelling of 1680271760 in words is "one billion, six hundred eighty million, two hundred seventy-one thousand, seven hundred sixty".