1681975168 has 64 divisors (see below), whose sum is σ = 3416306400. Its totient is φ = 824721408.

The previous prime is 1681975157. The next prime is 1681975177. The reversal of 1681975168 is 8615791861.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1489228 + ... + 1490356.

Almost surely, 2^1681975168 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 1681975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708153200).

1681975168 is an abundant number, since it is smaller than the sum of its proper divisors (1734331232).

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

1681975168 is a wasteful number, since it uses less digits than its factorization.

1681975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its digits is 725760, while the sum is 52.

The square root of 1681975168 is about 41011.8905684681. The cubic root of 1681975168 is about 1189.2500908088.

The spelling of 1681975168 in words is "one billion, six hundred eighty-one million, nine hundred seventy-five thousand, one hundred sixty-eight".