966128064 has 112 divisors (see below), whose sum is σ = 2909986560. Its totient is φ = 280023040.

The previous prime is 966128057. The next prime is 966128081. The reversal of 966128064 is 460821669.

966128064 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38632 + ... + 58520.

Almost surely, 2^966128064 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 966128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

966128064 is an abundant number, since it is smaller than the sum of its proper divisors (1943858496).

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

966128064 is a wasteful number, since it uses less digits than its factorization.

966128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19938 (or 19928 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 966128064 is about 31082.6006633937. The cubic root of 966128064 is about 988.5794215825.

The spelling of 966128064 in words is "nine hundred sixty-six million, one hundred twenty-eight thousand, sixty-four".