166890000 has 100 divisors (see below), whose sum is σ = 538840016. Its totient is φ = 44496000.

The previous prime is 166889993. The next prime is 166890023. The reversal of 166890000 is 98661.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 166890000.

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 19 ways as a sum of consecutive naturals, for example, 27219 + ... + 32781.

Almost surely, 2^166890000 is an apocalyptic number.

166890000 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 166890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269420008).

166890000 is an abundant number, since it is smaller than the sum of its proper divisors (371950016).

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

166890000 is an equidigital number, since it uses as much as digits as its factorization.

166890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 166890000 is about 12918.5912544673. The cubic root of 166890000 is about 550.5669085752.

The spelling of 166890000 in words is "one hundred sixty-six million, eight hundred ninety thousand".