65328640 has 120 divisors (see below), whose sum is σ = 170734608. Its totient is φ = 23961600.

The previous prime is 65328617. The next prime is 65328661. The reversal of 65328640 is 4682356.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 65328596 and 65328605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432565 + ... + 432715.

Almost surely, 2^65328640 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 65328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85367304).

65328640 is an abundant number, since it is smaller than the sum of its proper divisors (105405968).

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

65328640 is a wasteful number, since it uses less digits than its factorization.

65328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 65328640 is about 8082.6134387338. The cubic root of 65328640 is about 402.7490633443.

The spelling of 65328640 in words is "sixty-five million, three hundred twenty-eight thousand, six hundred forty".