1680019956 has 72 divisors (see below), whose sum is σ = 4328722944. Its totient is φ = 549279360.

The previous prime is 1680019931. The next prime is 1680019993. The reversal of 1680019956 is 6599100861.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 500275 + ... + 503621.

It is an arithmetic number, because the mean of its divisors is an integer number (60121152).

Almost surely, 2^1680019956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680019956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164361472).

1680019956 is an abundant number, since it is smaller than the sum of its proper divisors (2648702988).

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

1680019956 is a wasteful number, since it uses less digits than its factorization.

1680019956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1680019956 is about 40988.0465013887. The cubic root of 1680019956 is about 1188.7890975541.

The spelling of 1680019956 in words is "one billion, six hundred eighty million, nineteen thousand, nine hundred fifty-six".