64320 has 56 divisors (see below), whose sum is σ = 207264. Its totient is φ = 16896.

The previous prime is 64319. The next prime is 64327. The reversal of 64320 is 2346.

64320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a nialpdrome in base 10 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 64320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 993.

2⁶⁴³²⁰ is an apocalyptic number.

64320 is a gapful number since it is divisible by the number (60) 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 64320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632).

64320 is an abundant number, since it is smaller than the sum of its proper divisors (142944).

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

64320 is a wasteful number, since it uses less digits than its factorization.

64320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

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

The square root of 64320 is about 253.6138797464. The cubic root of 64320 is about 40.0665558632.

Adding to 64320 its reverse (2346), we get a palindrome (66666).

The spelling of 64320 in words is "sixty-four thousand, three hundred twenty".