1683168336 has 100 divisors (see below), whose sum is σ = 5083475232. Its totient is φ = 536652864.

The previous prime is 1683168259. The next prime is 1683168349. The reversal of 1683168336 is 6338613861.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1683168291 and 1683168300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575 + ... + 58041.

Almost surely, 2^1683168336 is an apocalyptic number.

1683168336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683168336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541737616).

1683168336 is an abundant number, since it is smaller than the sum of its proper divisors (3400306896).

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

1683168336 is a wasteful number, since it uses less digits than its factorization.

1683168336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56510 (or 56495 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1683168336 is about 41026.4346001453. The cubic root of 1683168336 is about 1189.5312364084.

The spelling of 1683168336 in words is "one billion, six hundred eighty-three million, one hundred sixty-eight thousand, three hundred thirty-six".