166944500 has 48 divisors (see below), whose sum is σ = 366427152. Its totient is φ = 66444800.

The previous prime is 166944487. The next prime is 166944521. The reversal of 166944500 is 5449661.

It can be written as a sum of positive squares in 8 ways, for example, as 50865424 + 116079076 = 7132^2 + 10774^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115784 + ... + 117216.

It is an arithmetic number, because the mean of its divisors is an integer number (7633899).

Almost surely, 2^166944500 is an apocalyptic number.

166944500 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 166944500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183213576).

166944500 is an abundant number, since it is smaller than the sum of its proper divisors (199482652).

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

166944500 is a wasteful number, since it uses less digits than its factorization.

166944500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 166944500 is about 12920.7004454093. The cubic root of 166944500 is about 550.6268335375.

The spelling of 166944500 in words is "one hundred sixty-six million, nine hundred forty-four thousand, five hundred".