164064 has 24 divisors (see below), whose sum is σ = 430920. Its totient is φ = 54656.

The previous prime is 164057. The next prime is 164071. The reversal of 164064 is 460461.

It is an interprime number because it is at equal distance from previous prime (164057) and next prime (164071).

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164064.

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 164064.

It is an unprimeable number.

164064 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 3 ways as a sum of consecutive naturals, for example, 759 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2¹⁶⁴⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

164064 is an abundant number, since it is smaller than the sum of its proper divisors (266856).

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

164064 is a wasteful number, since it uses less digits than its factorization.

164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164064 is about 405.0481452865. The cubic root of 164064 is about 54.7441560869.

The spelling of 164064 in words is "one hundred sixty-four thousand, sixty-four".