32064 has 28 divisors (see below), whose sum is σ = 85344. Its totient is φ = 10624.

The previous prime is 32063. The next prime is 32069. The reversal of 32064 is 46023.

32064 is nontrivially palindromic in base 15.

It is a nialpdrome in base 8 and base 14.

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 32064.

It is not an unprimeable number, because it can be changed into a prime (32063) 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, 109 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (3048).

2³²⁰⁶⁴ 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 32064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672).

32064 is an abundant number, since it is smaller than the sum of its proper divisors (53280).

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

32064 is a wasteful number, since it uses less digits than its factorization.

32064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32064 is about 179.0642342848. The cubic root of 32064 is about 31.7691722921.

Adding to 32064 its reverse (46023), we get a palindrome (78087).

The spelling of 32064 in words is "thirty-two thousand, sixty-four", and thus it is an eban number.