1680492580 has 48 divisors (see below), whose sum is σ = 3931567920. Its totient is φ = 599090688.

The previous prime is 1680492557. The next prime is 1680492581. The reversal of 1680492580 is 852940861.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 1679524324 = 984^2 + 40982^2 .

It is a super-2 number, since 2×1680492580² = 5648110622870112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1680492581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103899 + ... + 118978.

It is an arithmetic number, because the mean of its divisors is an integer number (81907665).

Almost surely, 2^1680492580 is an apocalyptic number.

1680492580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680492580 is an abundant number, since it is smaller than the sum of its proper divisors (2251075340).

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

1680492580 is a wasteful number, since it uses less digits than its factorization.

1680492580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222928 (or 222926 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 1680492580 is about 40993.8114841740. The cubic root of 1680492580 is about 1188.9005640038.

The spelling of 1680492580 in words is "one billion, six hundred eighty million, four hundred ninety-two thousand, five hundred eighty".