166944 has 48 divisors (see below), whose sum is σ = 459648. Its totient is φ = 52992.

The previous prime is 166931. The next prime is 166949. The reversal of 166944 is 449661.

Added to its reverse (449661) it gives a triangular number (616605 = T₁₁₁₀).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166949) by changing a digit.

166944 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3529 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁶⁶⁹⁴⁴ 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 166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

166944 is an abundant number, since it is smaller than the sum of its proper divisors (292704).

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

166944 is a wasteful number, since it uses less digits than its factorization.

166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 166944 is about 408.5878118593. The cubic root of 166944 is about 55.0626283826.

Adding to 166944 its reverse (449661), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 166944 in words is "one hundred sixty-six thousand, nine hundred forty-four".