65643936 has 192 divisors, whose sum is σ = 201398400. Its totient is φ = 18579456.

The previous prime is 65643923. The next prime is 65643943. The reversal of 65643936 is 63934656.

65643936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 899196 + ... + 899268.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^65643936 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 65643936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

65643936 is an abundant number, since it is smaller than the sum of its proper divisors (135754464).

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

65643936 is a wasteful number, since it uses less digits than its factorization.

65643936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The square root of 65643936 is about 8102.0945440053. The cubic root of 65643936 is about 403.3959538195.

The spelling of 65643936 in words is "sixty-five million, six hundred forty-three thousand, nine hundred thirty-six".