171120 has 80 divisors (see below), whose sum is σ = 571392. Its totient is φ = 42240.

The previous prime is 171103. The next prime is 171131. The reversal of 171120 is 21171.

171120 = 75² + 76² + ... + 97².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 171096 and 171105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5505 + ... + 5535.

2¹⁷¹¹²⁰ is an apocalyptic number.

171120 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 171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

171120 is an abundant number, since it is smaller than the sum of its proper divisors (400272).

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

171120 is a wasteful number, since it uses less digits than its factorization.

171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 171120 is about 413.6665323663. Note that the first 3 decimals coincide. The cubic root of 171120 is about 55.5179716168.

Adding to 171120 its reverse (21171), we get a palindrome (192291).

The spelling of 171120 in words is "one hundred seventy-one thousand, one hundred twenty", and thus it is an iban number.