166540032 has 162 divisors, whose sum is σ = 503619116. Its totient is φ = 52899840.

The previous prime is 166540019. The next prime is 166540037. The reversal of 166540032 is 230045661.

166540032 is a `hidden beast` number, since 1 + 6 + 654 + 0 + 0 + 3 + 2 = 666.

166540032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166540032² = 55471164517122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166539978 and 166540005.

It is not an unprimeable number, because it can be changed into a prime (166540037) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3873003 + ... + 3873045.

Almost surely, 2^166540032 is an apocalyptic number.

166540032 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 166540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251809558).

166540032 is an abundant number, since it is smaller than the sum of its proper divisors (337079084).

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

166540032 is an equidigital number, since it uses as much as digits as its factorization.

166540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 166540032 is about 12905.0390158263. The cubic root of 166540032 is about 550.1817933481.

Adding to 166540032 its reverse (230045661), we get a palindrome (396585693).

The spelling of 166540032 in words is "one hundred sixty-six million, five hundred forty thousand, thirty-two".