1668206000 has 80 divisors (see below), whose sum is σ = 4075780800. Its totient is φ = 660326400.

The previous prime is 1668205997. The next prime is 1668206041. The reversal of 1668206000 is 6028661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1668206000² = 5565822516872000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189701 + ... + 198299.

It is an arithmetic number, because the mean of its divisors is an integer number (50947260).

Almost surely, 2^1668206000 is an apocalyptic number.

1668206000 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 1668206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037890400).

1668206000 is an abundant number, since it is smaller than the sum of its proper divisors (2407574800).

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

1668206000 is an equidigital number, since it uses as much as digits as its factorization.

1668206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1668206000 is about 40843.6776013130. The cubic root of 1668206000 is about 1185.9960054731.

The spelling of 1668206000 in words is "one billion, six hundred sixty-eight million, two hundred six thousand".