966834128 has 60 divisors (see below), whose sum is σ = 2036357388. Its totient is φ = 444487680.

The previous prime is 966834101. The next prime is 966834139. The reversal of 966834128 is 821438669.

966834128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 167754304 + 799079824 = 12952^2 + 28268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910718 + ... + 911778.

Almost surely, 2^966834128 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 966834128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018178694).

966834128 is an abundant number, since it is smaller than the sum of its proper divisors (1069523260).

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

966834128 is a wasteful number, since it uses less digits than its factorization.

966834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1413 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 966834128 is about 31093.9564545910. The cubic root of 966834128 is about 988.8201868939.

The spelling of 966834128 in words is "nine hundred sixty-six million, eight hundred thirty-four thousand, one hundred twenty-eight".