65328576 has 112 divisors (see below), whose sum is σ = 180441600. Its totient is φ = 20846592.

The previous prime is 65328509. The next prime is 65328583. The reversal of 65328576 is 67582356.

65328576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (302400) is a multiple of the sum of its prime divisors (216).

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 15 ways as a sum of consecutive naturals, for example, 826905 + ... + 826983.

Almost surely, 2^65328576 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 65328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90220800).

65328576 is an abundant number, since it is smaller than the sum of its proper divisors (115113024).

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

65328576 is a wasteful number, since it uses less digits than its factorization.

65328576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 65328576 is about 8082.6094796173. The cubic root of 65328576 is about 402.7489318249.

The spelling of 65328576 in words is "sixty-five million, three hundred twenty-eight thousand, five hundred seventy-six".