166432608 has 72 divisors (see below), whose sum is σ = 475046208. Its totient is φ = 55272192.

The previous prime is 166432603. The next prime is 166432621. The reversal of 166432608 is 806234661.

166432608 is a `hidden beast` number, since 1 + 6 + 6 + 43 + 2 + 608 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166432603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90385 + ... + 92207.

It is an arithmetic number, because the mean of its divisors is an integer number (6597864).

Almost surely, 2^166432608 is an apocalyptic number.

166432608 is a gapful number since it is divisible by the number (18) 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 166432608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237523104).

166432608 is an abundant number, since it is smaller than the sum of its proper divisors (308613600).

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

166432608 is a wasteful number, since it uses less digits than its factorization.

166432608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 166432608 is about 12900.8762493096. The cubic root of 166432608 is about 550.0634725645.

The spelling of 166432608 in words is "one hundred sixty-six million, four hundred thirty-two thousand, six hundred eight".