166808160 has 240 divisors, whose sum is σ = 601180272. Its totient is φ = 43545600.

The previous prime is 166808141. The next prime is 166808177. The reversal of 166808160 is 61808661.

166808160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790455 + ... + 790665.

Almost surely, 2^166808160 is an apocalyptic number.

166808160 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 166808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300590136).

166808160 is an abundant number, since it is smaller than the sum of its proper divisors (434372112).

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

166808160 is a wasteful number, since it uses less digits than its factorization.

166808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 166808160 is about 12915.4233380095. The cubic root of 166808160 is about 550.4768976636.

The spelling of 166808160 in words is "one hundred sixty-six million, eight hundred eight thousand, one hundred sixty".