171181968 has 80 divisors (see below), whose sum is σ = 455881536. Its totient is φ = 55319040.

The previous prime is 171181957. The next prime is 171182047. The reversal of 171181968 is 869181171.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (24192) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406398 + ... + 406818.

Almost surely, 2^171181968 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 171181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227940768).

171181968 is an abundant number, since it is smaller than the sum of its proper divisors (284699568).

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

171181968 is a wasteful number, since it uses less digits than its factorization.

171181968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its digits is 24192, while the sum is 42.

The square root of 171181968 is about 13083.6527009853. The cubic root of 171181968 is about 555.2467241639.

The spelling of 171181968 in words is "one hundred seventy-one million, one hundred eighty-one thousand, nine hundred sixty-eight".