166624 has 24 divisors (see below), whose sum is σ = 338688. Its totient is φ = 80640.

The previous prime is 166619. The next prime is 166627. The reversal of 166624 is 426661.

It is a happy number.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166627) by changing a digit.

166624 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 3 ways as a sum of consecutive naturals, for example, 1249 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2¹⁶⁶⁶²⁴ 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 166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

166624 is an abundant number, since it is smaller than the sum of its proper divisors (172064).

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

166624 is a wasteful number, since it uses less digits than its factorization.

166624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 166624 is about 408.1960313379. The cubic root of 166624 is about 55.0274243398.

The spelling of 166624 in words is "one hundred sixty-six thousand, six hundred twenty-four".