166166432 has 96 divisors (see below), whose sum is σ = 362734848. Its totient is φ = 74612736.

The previous prime is 166166431. The next prime is 166166437. The reversal of 166166432 is 234661661.

It is a super-2 number, since 2×166166432² = 55222566247221248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166166392 and 166166401.

It is not an unprimeable number, because it can be changed into a prime (166166431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713008 + ... + 1713104.

It is an arithmetic number, because the mean of its divisors is an integer number (3778488).

Almost surely, 2^166166432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166166432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181367424).

166166432 is an abundant number, since it is smaller than the sum of its proper divisors (196568416).

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

166166432 is a wasteful number, since it uses less digits than its factorization.

166166432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 166166432 is about 12890.5559228452. Note that the first 3 decimals coincide. The cubic root of 166166432 is about 549.7700768986.

The spelling of 166166432 in words is "one hundred sixty-six million, one hundred sixty-six thousand, four hundred thirty-two".