171171168 has 96 divisors (see below), whose sum is σ = 518708736. Its totient is φ = 48411648.

The previous prime is 171171167. The next prime is 171171173. The reversal of 171171168 is 861171171.

It is a happy number.

171171168 is digitally balanced in base 2, 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 (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171171163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67980 + ... + 70452.

It is an arithmetic number, because the mean of its divisors is an integer number (5403216).

Almost surely, 2^171171168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171171168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259354368).

171171168 is an abundant number, since it is smaller than the sum of its proper divisors (347537568).

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

171171168 is a wasteful number, since it uses less digits than its factorization.

171171168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2588 counting only the distinct ones).

The product of its digits is 2352, while the sum is 33.

The square root of 171171168 is about 13083.2399656966. The cubic root of 171171168 is about 555.2350469395.

The spelling of 171171168 in words is "one hundred seventy-one million, one hundred seventy-one thousand, one hundred sixty-eight".