166800000 has 192 divisors, whose sum is σ = 557776800. Its totient is φ = 44160000.

The previous prime is 166799989. The next prime is 166800001. The reversal of 166800000 is 8661.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 166800000.

It is not an unprimeable number, because it can be changed into a prime (166800001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1199931 + ... + 1200069.

Almost surely, 2^166800000 is an apocalyptic number.

166800000 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 166800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278888400).

166800000 is an abundant number, since it is smaller than the sum of its proper divisors (390976800).

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

166800000 is an frugal number, since it uses more digits than its factorization.

166800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 166800000 is about 12915.1074327704. The cubic root of 166800000 is about 550.4679213547.

Adding to 166800000 its reverse (8661), we get a palindrome (166808661).

The spelling of 166800000 in words is "one hundred sixty-six million, eight hundred thousand".