171120096 has 144 divisors (see below), whose sum is σ = 588972384. Its totient is φ = 46006272.

The previous prime is 171120073. The next prime is 171120107. The reversal of 171120096 is 690021171.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31776 + ... + 36768.

It is an arithmetic number, because the mean of its divisors is an integer number (4090086).

Almost surely, 2^171120096 is an apocalyptic number.

171120096 is a gapful number since it is divisible by the number (16) 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 171120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294486192).

171120096 is an abundant number, since it is smaller than the sum of its proper divisors (417852288).

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

171120096 is a wasteful number, since it uses less digits than its factorization.

171120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 171120096 is about 13081.2880099782. The cubic root of 171120096 is about 555.1798199887.

The spelling of 171120096 in words is "one hundred seventy-one million, one hundred twenty thousand, ninety-six".