1680180957 has 48 divisors (see below), whose sum is σ = 3050611200. Its totient is φ = 867373056.

The previous prime is 1680180949. The next prime is 1680180959. The reversal of 1680180957 is 7590810861.

It is not a de Polignac number, because 1680180957 - 2³ = 1680180949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680180959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16669 + ... + 60317.

It is an arithmetic number, because the mean of its divisors is an integer number (63554400).

Almost surely, 2^1680180957 is an apocalyptic number.

It is an amenable number.

1680180957 is a deficient number, since it is larger than the sum of its proper divisors (1370430243).

1680180957 is a wasteful number, since it uses less digits than its factorization.

1680180957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43722 (or 43719 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 1680180957 is about 40990.0104537679. The cubic root of 1680180957 is about 1188.8270713331.

The spelling of 1680180957 in words is "one billion, six hundred eighty million, one hundred eighty thousand, nine hundred fifty-seven".