166009120 has 24 divisors (see below), whose sum is σ = 392196924. Its totient is φ = 66403584.

The previous prime is 166009093. The next prime is 166009127. The reversal of 166009120 is 21900661.

It can be written as a sum of positive squares in 2 ways, for example, as 165997456 + 11664 = 12884^2 + 108^2 .

It is not an unprimeable number, because it can be changed into a prime (166009127) 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 3 ways as a sum of consecutive naturals, for example, 518619 + ... + 518938.

Almost surely, 2^166009120 is an apocalyptic number.

166009120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166009120 is an abundant number, since it is smaller than the sum of its proper divisors (226187804).

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

166009120 is a wasteful number, since it uses less digits than its factorization.

166009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037572 (or 1037564 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 166009120 is about 12884.4526465038. The cubic root of 166009120 is about 549.5965305412.

Adding to 166009120 its reverse (21900661), we get a palindrome (187909781).

The spelling of 166009120 in words is "one hundred sixty-six million, nine thousand, one hundred twenty".