171360 has 144 divisors (see below), whose sum is σ = 707616. Its totient is φ = 36864.

The previous prime is 171341. The next prime is 171383. The reversal of 171360 is 63171.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

171360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10072 + ... + 10088.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2¹⁷¹³⁶⁰ is an apocalyptic number.

171360 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 171360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808).

171360 is an abundant number, since it is smaller than the sum of its proper divisors (536256).

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

171360 is a wasteful number, since it uses less digits than its factorization.

171360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 171360 is about 413.9565194558. The cubic root of 171360 is about 55.5439145980.

The spelling of 171360 in words is "one hundred seventy-one thousand, three hundred sixty".