65636064 has 144 divisors (see below), whose sum is σ = 205837632. Its totient is φ = 19713024.

The previous prime is 65636057. The next prime is 65636071. The reversal of 65636064 is 46063656.

65636064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65636057) and next prime (65636071).

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 a congruent number.

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, 175782 + ... + 176154.

It is an arithmetic number, because the mean of its divisors is an integer number (1429428).

Almost surely, 2^65636064 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 65636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102918816).

65636064 is an abundant number, since it is smaller than the sum of its proper divisors (140201568).

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

65636064 is a wasteful number, since it uses less digits than its factorization.

65636064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 65636064 is about 8101.6087291352. The cubic root of 65636064 is about 403.3798281365.

The spelling of 65636064 in words is "sixty-five million, six hundred thirty-six thousand, sixty-four".