64000320 has 112 divisors (see below), whose sum is σ = 204947520. Its totient is φ = 16920576.

The previous prime is 64000319. The next prime is 64000351. The reversal of 64000320 is 2300046.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64000320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156276 + ... + 156684.

Almost surely, 2^64000320 is an apocalyptic number.

64000320 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 64000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102473760).

64000320 is an abundant number, since it is smaller than the sum of its proper divisors (140947200).

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

64000320 is a wasteful number, since it uses less digits than its factorization.

64000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

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

The square root of 64000320 is about 8000.0199999750. The cubic root of 64000320 is about 400.0006666656. Note that the first 3 decimals are identical.

Adding to 64000320 its reverse (2300046), we get a palindrome (66300366).

The spelling of 64000320 in words is "sixty-four million, three hundred twenty", and thus it is an aban number.