1682823168 has 192 divisors, whose sum is σ = 5370674400. Its totient is φ = 517570560.

The previous prime is 1682823151. The next prime is 1682823173. The reversal of 1682823168 is 8613282861.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 717678 + ... + 720018.

Almost surely, 2^1682823168 is an apocalyptic number.

1682823168 is a gapful number since it is divisible by the number (18) 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 1682823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685337200).

1682823168 is an abundant number, since it is smaller than the sum of its proper divisors (3687851232).

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

1682823168 is a wasteful number, since it uses less digits than its factorization.

1682823168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2359 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1682823168 is about 41022.2277308291. The cubic root of 1682823168 is about 1189.4499183016.

The spelling of 1682823168 in words is "one billion, six hundred eighty-two million, eight hundred twenty-three thousand, one hundred sixty-eight".