169664 has 28 divisors (see below), whose sum is σ = 368808. Its totient is φ = 76800.

The previous prime is 169661. The next prime is 169667. The reversal of 169664 is 466961.

169664 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (169661) and next prime (169667).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 169664.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 169664.

It is not an unprimeable number, because it can be changed into a prime (169661) 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 3 ways as a sum of consecutive naturals, for example, 584 + ... + 824.

2¹⁶⁹⁶⁶⁴ 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 169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184404).

169664 is an abundant number, since it is smaller than the sum of its proper divisors (199144).

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

169664 is a wasteful number, since it uses less digits than its factorization.

169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 169664 is about 411.9029011794. The cubic root of 169664 is about 55.3600619243.

The spelling of 169664 in words is "one hundred sixty-nine thousand, six hundred sixty-four".