1680080 has 20 divisors (see below), whose sum is σ = 3906372. Its totient is φ = 672000.

The previous prime is 1680079. The next prime is 1680089. The reversal of 1680080 is 800861.

It can be written as a sum of positive squares in 2 ways, for example, as 478864 + 1201216 = 692^2 + 1096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10421 + ... + 10580.

2^1680080 is an apocalyptic number.

1680080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680080 is an abundant number, since it is smaller than the sum of its proper divisors (2226292).

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

1680080 is a wasteful number, since it uses less digits than its factorization.

1680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21014 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1680080 is about 1296.1789999842. The cubic root of 1680080 is about 118.8803259847.

The spelling of 1680080 in words is "one million, six hundred eighty thousand, eighty".