65333664 has 144 divisors (see below), whose sum is σ = 208039104. Its totient is φ = 19276800.

The previous prime is 65333659. The next prime is 65333677. The reversal of 65333664 is 46633356.

It is a happy number.

65333664 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, 129637 + ... + 130139.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^65333664 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 65333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

65333664 is an abundant number, since it is smaller than the sum of its proper divisors (142705440).

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

65333664 is a wasteful number, since it uses less digits than its factorization.

65333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 65333664 is about 8082.9242233241. The cubic root of 65333664 is about 402.7593873483.

The spelling of 65333664 in words is "sixty-five million, three hundred thirty-three thousand, six hundred sixty-four".