171648 has 48 divisors (see below), whose sum is σ = 497250. Its totient is φ = 56832.

The previous prime is 171641. The next prime is 171653. The reversal of 171648 is 846171.

It is a happy number.

171648 is a `hidden beast` number, since 17 + 1 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 5184 = 408^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (171641) by changing a digit.

171648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1078 + ... + 1226.

2¹⁷¹⁶⁴⁸ is an apocalyptic number.

171648 is a gapful number since it is divisible by the number (18) 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 171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248625).

171648 is an abundant number, since it is smaller than the sum of its proper divisors (325602).

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

171648 is a wasteful number, since it uses less digits than its factorization.

171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 171648 is about 414.3042360392. The cubic root of 171648 is about 55.5750142207.

It can be divided in two parts, 1716 and 48, that added together give a square (1764 = 42²).

The spelling of 171648 in words is "one hundred seventy-one thousand, six hundred forty-eight".