166482432 has 80 divisors (see below), whose sum is σ = 492840480. Its totient is φ = 55489536.

The previous prime is 166482403. The next prime is 166482439. The reversal of 166482432 is 234284661.

166482432 is a `hidden beast` number, since 1 + 6 + 648 + 2 + 4 + 3 + 2 = 666.

166482432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166482439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7803 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (6160506).

Almost surely, 2^166482432 is an apocalyptic number.

166482432 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 166482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246420240).

166482432 is an abundant number, since it is smaller than the sum of its proper divisors (326358048).

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

166482432 is an equidigital number, since it uses as much as digits as its factorization.

166482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12070 (or 12048 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 166482432 is about 12902.8071364335. The cubic root of 166482432 is about 550.1183568976.

The spelling of 166482432 in words is "one hundred sixty-six million, four hundred eighty-two thousand, four hundred thirty-two".