64320000 has 200 divisors, whose sum is σ = 217317936. Its totient is φ = 16896000.

The previous prime is 64319987. The next prime is 64320001. The reversal of 64320000 is 2346.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (64320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959967 + ... + 960033.

Almost surely, 2^64320000 is an apocalyptic number.

64320000 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 64320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108658968).

64320000 is an abundant number, since it is smaller than the sum of its proper divisors (152997936).

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

64320000 is an frugal number, since it uses more digits than its factorization.

64320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

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

The square root of 64320000 is about 8019.9750623054. The cubic root of 64320000 is about 400.6655586317.

Adding to 64320000 its reverse (2346), we get a palindrome (64322346).

The spelling of 64320000 in words is "sixty-four million, three hundred twenty thousand".