64578816 has 72 divisors (see below), whose sum is σ = 190991360. Its totient is φ = 21523968.

The previous prime is 64578791. The next prime is 64578823. The reversal of 64578816 is 61887546.

It is a happy number.

64578816 is a `hidden beast` number, since 64 + 578 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 11583.

Almost surely, 2^64578816 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 64578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95495680).

64578816 is an abundant number, since it is smaller than the sum of its proper divisors (126412544).

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

64578816 is an equidigital number, since it uses as much as digits as its factorization.

64578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9348 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 64578816 is about 8036.0945738586. The cubic root of 64578816 is about 401.2022495365.

Subtracting from 64578816 its product of digits (322560), we obtain a square (64256256 = 8016²).

The spelling of 64578816 in words is "sixty-four million, five hundred seventy-eight thousand, eight hundred sixteen".