1680058980 has 36 divisors (see below), whose sum is σ = 5096179452. Its totient is φ = 448015680.

The previous prime is 1680058979. The next prime is 1680058987. The reversal of 1680058980 is 898500861.

1680058980 is a `hidden beast` number, since 1 + 68 + 0 + 0 + 589 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 791184384 + 888874596 = 28128^2 + 29814^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1680058987) 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 11 ways as a sum of consecutive naturals, for example, 4666651 + ... + 4667010.

Almost surely, 2^1680058980 is an apocalyptic number.

1680058980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680058980 is an abundant number, since it is smaller than the sum of its proper divisors (3416120472).

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

1680058980 is a wasteful number, since it uses less digits than its factorization.

1680058980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333676 (or 9333671 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1680058980 is about 40988.5225398525. The cubic root of 1680058980 is about 1188.7983019976.

The spelling of 1680058980 in words is "one billion, six hundred eighty million, fifty-eight thousand, nine hundred eighty".