171116088 has 128 divisors (see below), whose sum is σ = 510209280. Its totient is φ = 47139840.

The previous prime is 171116087. The next prime is 171116093. The reversal of 171116088 is 880611171.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171116087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250195 + ... + 250877.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2^171116088 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 171116088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

171116088 is an abundant number, since it is smaller than the sum of its proper divisors (339093192).

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

171116088 is a wasteful number, since it uses less digits than its factorization.

171116088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 33.

The square root of 171116088 is about 13081.1348131575. The cubic root of 171116088 is about 555.1754854538.

The spelling of 171116088 in words is "one hundred seventy-one million, one hundred sixteen thousand, eighty-eight".