64384576 has 63 divisors (see below), whose sum is σ = 138060049. Its totient is φ = 29785088.

The previous prime is 64384561. The next prime is 64384583. The reversal of 64384576 is 67548346.

The square root of 64384576 is 8024.

It is a perfect power (a square), and thus also a powerful number.

64384576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 14258176 = 7080^2 + 3776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1091235 + ... + 1091293.

Almost surely, 2^64384576 is an apocalyptic number.

64384576 is the 8024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64384576

64384576 is an abundant number, since it is smaller than the sum of its proper divisors (73675473).

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

64384576 is an equidigital number, since it uses as much as digits as its factorization.

64384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 78 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The cubic root of 64384576 is about 400.7996005324.

The spelling of 64384576 in words is "sixty-four million, three hundred eighty-four thousand, five hundred seventy-six".