65584768 has 32 divisors (see below), whose sum is σ = 131154660. Its totient is φ = 32667648.

The previous prime is 65584721. The next prime is 65584769. The reversal of 65584768 is 86748556.

65584768 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 2 ways, for example, as 41062464 + 24522304 = 6408^2 + 4952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×65584768² = 8602723587227648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65584769) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 39246 + ... + 40882.

Almost surely, 2^65584768 is an apocalyptic number.

It is an amenable number.

65584768 is a deficient number, since it is larger than the sum of its proper divisors (65569892).

65584768 is a wasteful number, since it uses less digits than its factorization.

65584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1952 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 49.

The square root of 65584768 is about 8098.4423193599. The cubic root of 65584768 is about 403.2747174037.

The spelling of 65584768 in words is "sixty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".