166506600 has 96 divisors (see below), whose sum is σ = 555901920. Its totient is φ = 40984320.

The previous prime is 166506589. The next prime is 166506631. The reversal of 166506600 is 6605661.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2874 + ... + 18473.

It is an arithmetic number, because the mean of its divisors is an integer number (5790645).

Almost surely, 2^166506600 is an apocalyptic number.

166506600 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 166506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277950960).

166506600 is an abundant number, since it is smaller than the sum of its proper divisors (389395320).

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

166506600 is a wasteful number, since it uses less digits than its factorization.

166506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379 (or 21370 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 166506600 is about 12903.7436428348. The cubic root of 166506600 is about 550.1449755564.

The spelling of 166506600 in words is "one hundred sixty-six million, five hundred six thousand, six hundred".