171864168 has 96 divisors (see below), whose sum is σ = 508485600. Its totient is φ = 48252288.

The previous prime is 171864127. The next prime is 171864181. The reversal of 171864168 is 861468171.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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 23 ways as a sum of consecutive naturals, for example, 68146 + ... + 70622.

It is an arithmetic number, because the mean of its divisors is an integer number (5296725).

Almost surely, 2^171864168 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 171864168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254242800).

171864168 is an abundant number, since it is smaller than the sum of its proper divisors (336621432).

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

171864168 is a wasteful number, since it uses less digits than its factorization.

171864168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2548 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 171864168 is about 13109.6974793471. The cubic root of 171864168 is about 555.9833423231.

The spelling of 171864168 in words is "one hundred seventy-one million, eight hundred sixty-four thousand, one hundred sixty-eight".