64032 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 19712.

The previous prime is 64019. The next prime is 64033. The reversal of 64032 is 23046.

64032 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

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 64032.

It is not an unprimeable number, because it can be changed into a prime (64033) 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 7 ways as a sum of consecutive naturals, for example, 2194 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁶⁴⁰³² 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 64032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

64032 is an abundant number, since it is smaller than the sum of its proper divisors (117408).

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

64032 is a wasteful number, since it uses less digits than its factorization.

64032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

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

The square root of 64032 is about 253.0454504630. The cubic root of 64032 is about 40.0066655559.

Adding to 64032 its reverse (23046), we get a palindrome (87078).

The spelling of 64032 in words is "sixty-four thousand, thirty-two", and thus it is an eban number.