166643712 has 72 divisors (see below), whose sum is σ = 481350870. Its totient is φ = 55541760.

The previous prime is 166643681. The next prime is 166643723. The reversal of 166643712 is 217346661.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 76317696 = 9504^2 + 8736^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 13912 + ... + 22952.

Almost surely, 2^166643712 is an apocalyptic number.

166643712 is a gapful number since it is divisible by the number (12) 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 166643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240675435).

166643712 is an abundant number, since it is smaller than the sum of its proper divisors (314707158).

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

166643712 is an equidigital number, since it uses as much as digits as its factorization.

166643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9046 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 166643712 is about 12909.0554263277. The cubic root of 166643712 is about 550.2959421093.

The spelling of 166643712 in words is "one hundred sixty-six million, six hundred forty-three thousand, seven hundred twelve".