171861768 has 96 divisors (see below), whose sum is σ = 517520640. Its totient is φ = 51166080.

The previous prime is 171861763. The next prime is 171861779. The reversal of 171861768 is 867168171.

It is a happy number.

171861768 is a `hidden beast` number, since 17 + 18 + 617 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (171861763) by changing a digit.

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, 26055 + ... + 31977.

It is an arithmetic number, because the mean of its divisors is an integer number (5390840).

Almost surely, 2^171861768 is an apocalyptic number.

171861768 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 171861768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258760320).

171861768 is an abundant number, since it is smaller than the sum of its proper divisors (345658872).

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

171861768 is a wasteful number, since it uses less digits than its factorization.

171861768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5972 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 171861768 is about 13109.6059437345. The cubic root of 171861768 is about 555.9807542982.

The spelling of 171861768 in words is "one hundred seventy-one million, eight hundred sixty-one thousand, seven hundred sixty-eight".