9166806000 has 480 divisors, whose sum is σ = 35499799296. Its totient is φ = 2185920000.

The previous prime is 9166805983. The next prime is 9166806023. The reversal of 9166806000 is 6086619.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13265655 + ... + 13266345.

Almost surely, 2^9166806000 is an apocalyptic number.

9166806000 is a gapful number since it is divisible by the number (90) 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 9166806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749899648).

9166806000 is an abundant number, since it is smaller than the sum of its proper divisors (26332993296).

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

9166806000 is a wasteful number, since it uses less digits than its factorization.

9166806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9166806000 is about 95743.4384174707. The cubic root of 9166806000 is about 2092.8559964361.

The spelling of 9166806000 in words is "nine billion, one hundred sixty-six million, eight hundred six thousand".