64564128 has 216 divisors, whose sum is σ = 209690208. Its totient is φ = 19502208.

The previous prime is 64564111. The next prime is 64564163. The reversal of 64564128 is 82146546.

64564128 is a `hidden beast` number, since 6 + 4 + 5 + 641 + 2 + 8 = 666.

64564128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64564092 and 64564101.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 2807125 + ... + 2807147.

It is an arithmetic number, because the mean of its divisors is an integer number (970788).

Almost surely, 2^64564128 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 64564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104845104).

64564128 is an abundant number, since it is smaller than the sum of its proper divisors (145126080).

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

64564128 is a wasteful number, since it uses less digits than its factorization.

64564128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64564128 is about 8035.1806451380. The cubic root of 64564128 is about 401.1718303484.

The spelling of 64564128 in words is "sixty-four million, five hundred sixty-four thousand, one hundred twenty-eight".