64005320 has 64 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 23634688.

The previous prime is 64005307. The next prime is 64005341. The reversal of 64005320 is 2350046.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 64005292 and 64005301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25481 + ... + 27879.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2^64005320 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 64005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

64005320 is an abundant number, since it is smaller than the sum of its proper divisors (91514680).

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

64005320 is a wasteful number, since it uses less digits than its factorization.

64005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 64005320 is about 8000.3324930905. The cubic root of 64005320 is about 400.0110830262.

Adding to 64005320 its reverse (2350046), we get a palindrome (66355366).

The spelling of 64005320 in words is "sixty-four million, five thousand, three hundred twenty".