65133664 has 36 divisors (see below), whose sum is σ = 136238004. Its totient is φ = 30646784.

The previous prime is 65133641. The next prime is 65133667. The reversal of 65133664 is 46633156.

65133664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65133667) 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 5 ways as a sum of consecutive naturals, for example, 5727 + ... + 12769.

It is an arithmetic number, because the mean of its divisors is an integer number (3784389).

Almost surely, 2^65133664 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 65133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68119002).

65133664 is an abundant number, since it is smaller than the sum of its proper divisors (71104340).

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

65133664 is a wasteful number, since it uses less digits than its factorization.

65133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7062 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 65133664 is about 8070.5429804939. The cubic root of 65133664 is about 402.3479903849.

The spelling of 65133664 in words is "sixty-five million, one hundred thirty-three thousand, six hundred sixty-four".