65128968 has 64 divisors (see below), whose sum is σ = 183916800. Its totient is φ = 21349440.

The previous prime is 65128967. The next prime is 65128969. The reversal of 65128968 is 86982156.

It is an interprime number because it is at equal distance from previous prime (65128967) and next prime (65128969).

It is not an unprimeable number, because it can be changed into a prime (65128963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10705 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (2873700).

Almost surely, 2^65128968 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 65128968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91958400).

65128968 is an abundant number, since it is smaller than the sum of its proper divisors (118787832).

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

65128968 is a wasteful number, since it uses less digits than its factorization.

65128968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5009 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 65128968 is about 8070.2520406738. The cubic root of 65128968 is about 402.3383206716.

The spelling of 65128968 in words is "sixty-five million, one hundred twenty-eight thousand, nine hundred sixty-eight".