1682108000 has 96 divisors (see below), whose sum is σ = 4350659040. Its totient is φ = 637401600.

The previous prime is 1682107969. The next prime is 1682108017. The reversal of 1682108000 is 8012861.

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 15 ways as a sum of consecutive naturals, for example, 64934 + ... + 87066.

It is an arithmetic number, because the mean of its divisors is an integer number (45319365).

Almost surely, 2^1682108000 is an apocalyptic number.

1682108000 is a gapful number since it is divisible by the number (10) 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 1682108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175329520).

1682108000 is an abundant number, since it is smaller than the sum of its proper divisors (2668551040).

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

1682108000 is a wasteful number, since it uses less digits than its factorization.

1682108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22177 (or 22159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1682108000 is about 41013.5099692772. The cubic root of 1682108000 is about 1189.2813965246.

The spelling of 1682108000 in words is "one billion, six hundred eighty-two million, one hundred eight thousand".