166344 has 32 divisors (see below), whose sum is σ = 432000. Its totient is φ = 53312.

The previous prime is 166319. The next prime is 166349. The reversal of 166344 is 443661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166344.

It is not an unprimeable number, because it can be changed into a prime (166349) by changing a digit.

166344 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 7 ways as a sum of consecutive naturals, for example, 577 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2¹⁶⁶³⁴⁴ 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 166344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000).

166344 is an abundant number, since it is smaller than the sum of its proper divisors (265656).

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

166344 is a wasteful number, since it uses less digits than its factorization.

166344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 166344 is about 407.8529146641. The cubic root of 166344 is about 54.9965838099.

The spelling of 166344 in words is "one hundred sixty-six thousand, three hundred forty-four".