166791168 has 72 divisors (see below), whose sum is σ = 481776750. Its totient is φ = 55590912.

The previous prime is 166791161. The next prime is 166791187. The reversal of 166791168 is 861197661.

It can be written as a sum of positive squares in only one way, i.e., 117679104 + 49112064 = 10848^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (166791161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13908 + ... + 22956.

Almost surely, 2^166791168 is an apocalyptic number.

166791168 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 166791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240888375).

166791168 is an abundant number, since it is smaller than the sum of its proper divisors (314985582).

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

166791168 is an equidigital number, since it uses as much as digits as its factorization.

166791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077 (or 9054 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 166791168 is about 12914.7655030976. The cubic root of 166791168 is about 550.4582054904.

The spelling of 166791168 in words is "one hundred sixty-six million, seven hundred ninety-one thousand, one hundred sixty-eight".