65565864 has 96 divisors (see below), whose sum is σ = 218574720. Its totient is φ = 17290368.

The previous prime is 65565859. The next prime is 65565901. The reversal of 65565864 is 46856556.

It is a happy number.

65565864 is a `hidden beast` number, since 6 + 5 + 565 + 86 + 4 = 666.

65565864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1549 + ... + 11555.

It is an arithmetic number, because the mean of its divisors is an integer number (2276820).

Almost surely, 2^65565864 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 65565864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109287360).

65565864 is an abundant number, since it is smaller than the sum of its proper divisors (153008856).

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

65565864 is a wasteful number, since it uses less digits than its factorization.

65565864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10032 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 65565864 is about 8097.2750972163. The cubic root of 65565864 is about 403.2359673602.

The spelling of 65565864 in words is "sixty-five million, five hundred sixty-five thousand, eight hundred sixty-four".