166306032 has 60 divisors (see below), whose sum is σ = 466867440. Its totient is φ = 55263744.

The previous prime is 166306003. The next prime is 166306033. The reversal of 166306032 is 230603661.

It is a junction number, because it is equal to n+sod(n) for n = 166305987 and 166306005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166306033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50088 + ... + 53304.

It is an arithmetic number, because the mean of its divisors is an integer number (7781124).

Almost surely, 2^166306032 is an apocalyptic number.

166306032 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 166306032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233433720).

166306032 is an abundant number, since it is smaller than the sum of its proper divisors (300561408).

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

166306032 is a wasteful number, since it uses less digits than its factorization.

166306032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 166306032 is about 12895.9696029418. The cubic root of 166306032 is about 549.9239917002.

Adding to 166306032 its reverse (230603661), we get a palindrome (396909693).

The spelling of 166306032 in words is "one hundred sixty-six million, three hundred six thousand, thirty-two".