171264 has 36 divisors (see below), whose sum is σ = 457856. Its totient is φ = 56832.

The previous prime is 171263. The next prime is 171271. The reversal of 171264 is 462171.

It is a super-3 number, since 3×171264³ = 15070216933343232, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 171264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657 + ... + 879.

2¹⁷¹²⁶⁴ 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 171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228928).

171264 is an abundant number, since it is smaller than the sum of its proper divisors (286592).

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

171264 is an equidigital number, since it uses as much as digits as its factorization.

171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 171264 is about 413.8405490041. The cubic root of 171264 is about 55.5335403141.

It can be divided in two parts, 171 and 264, that added together give a triangular number (435 = T₂₉).

The spelling of 171264 in words is "one hundred seventy-one thousand, two hundred sixty-four".