64844064 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 20839680.

The previous prime is 64844051. The next prime is 64844071. The reversal of 64844064 is 46044846.

64844064 is a `hidden beast` number, since 648 + 4 + 4 + 0 + 6 + 4 = 666.

64844064 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 (144).

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

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 23 ways as a sum of consecutive naturals, for example, 240922 + ... + 241190.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^64844064 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 64844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

64844064 is an abundant number, since it is smaller than the sum of its proper divisors (133288416).

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

64844064 is a wasteful number, since it uses less digits than its factorization.

64844064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 64844064 is about 8052.5812010808. The cubic root of 64844064 is about 401.7507923019.

The spelling of 64844064 in words is "sixty-four million, eight hundred forty-four thousand, sixty-four".