65648128 has 80 divisors (see below), whose sum is σ = 161552160. Its totient is φ = 25952256.

The previous prime is 65648123. The next prime is 65648129. The reversal of 65648128 is 82184656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65648123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45888 + ... + 47296.

It is an arithmetic number, because the mean of its divisors is an integer number (2019402).

Almost surely, 2^65648128 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 65648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80776080).

65648128 is an abundant number, since it is smaller than the sum of its proper divisors (95904032).

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

65648128 is a wasteful number, since it uses less digits than its factorization.

65648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1431 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 65648128 is about 8102.3532384117. The cubic root of 65648128 is about 403.4045405473.

It can be divided in two parts, 656 and 48128, that added together give a palindrome (48784).

The spelling of 65648128 in words is "sixty-five million, six hundred forty-eight thousand, one hundred twenty-eight".