173664 has 60 divisors (see below), whose sum is σ = 518364. Its totient is φ = 57024.

The previous prime is 173659. The next prime is 173669. The reversal of 173664 is 466371.

It is an interprime number because it is at equal distance from previous prime (173659) and next prime (173669).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173664.

It is not an unprimeable number, because it can be changed into a prime (173669) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2559 + ... + 2625.

173664 is a Friedman number, since it can be written as 6^4*(6+(3-1)^7), using all its digits and the basic arithmetic operations.

2¹⁷³⁶⁶⁴ 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 173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259182).

173664 is an abundant number, since it is smaller than the sum of its proper divisors (344700).

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

173664 is an equidigital number, since it uses as much as digits as its factorization.

173664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 173664 is about 416.7301285004. The cubic root of 173664 is about 55.7917434887.

The spelling of 173664 in words is "one hundred seventy-three thousand, six hundred sixty-four".