64064 has 56 divisors (see below), whose sum is σ = 170688. Its totient is φ = 23040.

The previous prime is 64063. The next prime is 64067. The reversal of 64064 is 46046.

64064 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (64063) 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, 4922 + ... + 4934.

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

2⁶⁴⁰⁶⁴ is an apocalyptic number.

64064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344).

64064 is an abundant number, since it is smaller than the sum of its proper divisors (106624).

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

64064 is a wasteful number, since it uses less digits than its factorization.

64064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 64064 is about 253.1086723129. The cubic root of 64064 is about 40.0133288914.

The spelling of 64064 in words is "sixty-four thousand, sixty-four", and thus it is an eban number.