171601120 has 96 divisors (see below), whose sum is σ = 433278720. Its totient is φ = 64081920.

The previous prime is 171601109. The next prime is 171601139. The reversal of 171601120 is 21106171.

171601120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 143244 + ... + 144436.

It is an arithmetic number, because the mean of its divisors is an integer number (4513320).

Almost surely, 2^171601120 is an apocalyptic number.

171601120 is a gapful number since it is divisible by the number (10) 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 171601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216639360).

171601120 is an abundant number, since it is smaller than the sum of its proper divisors (261677600).

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

171601120 is a wasteful number, since it uses less digits than its factorization.

171601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 171601120 is about 13099.6610643177. The cubic root of 171601120 is about 555.6995426490.

Adding to 171601120 its reverse (21106171), we get a palindrome (192707291).

The spelling of 171601120 in words is "one hundred seventy-one million, six hundred one thousand, one hundred twenty".