1680936144 has 20 divisors (see below), whose sum is σ = 4342418496. Its totient is φ = 560312032.

The previous prime is 1680936119. The next prime is 1680936211. The reversal of 1680936144 is 4416390861.

It is a junction number, because it is equal to n+sod(n) for n = 1680936096 and 1680936105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17509704 + ... + 17509799.

Almost surely, 2^1680936144 is an apocalyptic number.

It is an amenable number.

1680936144 is an abundant number, since it is smaller than the sum of its proper divisors (2661482352).

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

1680936144 is a wasteful number, since it uses less digits than its factorization.

1680936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35019514 (or 35019508 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1680936144 is about 40999.2212608971. The cubic root of 1680936144 is about 1189.0051577610.

The spelling of 1680936144 in words is "one billion, six hundred eighty million, nine hundred thirty-six thousand, one hundred forty-four".