166820000 has 120 divisors (see below), whose sum is σ = 432986400. Its totient is φ = 63072000.

The previous prime is 166819999. The next prime is 166820009. The reversal of 166820000 is 28661.

It is not an unprimeable number, because it can be changed into a prime (166820009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 379781 + ... + 380219.

It is an arithmetic number, because the mean of its divisors is an integer number (3608220).

Almost surely, 2^166820000 is an apocalyptic number.

166820000 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 166820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216493200).

166820000 is an abundant number, since it is smaller than the sum of its proper divisors (266166400).

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

166820000 is an equidigital number, since it uses as much as digits as its factorization.

166820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 166820000 is about 12915.8816965781. The cubic root of 166820000 is about 550.4899215914.

Adding to 166820000 its reverse (28661), we get a palindrome (166848661).

The spelling of 166820000 in words is "one hundred sixty-six million, eight hundred twenty thousand".