166508160 has 256 divisors, whose sum is σ = 653909760. Its totient is φ = 35094528.

The previous prime is 166508141. The next prime is 166508171. The reversal of 166508160 is 61805661.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 174244 + ... + 175196.

It is an arithmetic number, because the mean of its divisors is an integer number (2554335).

Almost surely, 2^166508160 is an apocalyptic number.

166508160 is a gapful number since it is divisible by the number (10) 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 166508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326954880).

166508160 is an abundant number, since it is smaller than the sum of its proper divisors (487401600).

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

166508160 is a wasteful number, since it uses less digits than its factorization.

166508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 166508160 is about 12903.8040902673. The cubic root of 166508160 is about 550.1466936534.

The spelling of 166508160 in words is "one hundred sixty-six million, five hundred eight thousand, one hundred sixty".