966610944 has 156 divisors (see below), whose sum is σ = 3008357716. Its totient is φ = 297271296.

The previous prime is 966610913. The next prime is 966610961. The reversal of 966610944 is 449016669.

It can be written as a sum of positive squares in 2 ways, for example, as 479084544 + 487526400 = 21888^2 + 22080^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×966610944² = 1868673434121142272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 966610944.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 478224 + ... + 480240.

Almost surely, 2^966610944 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 966610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504178858).

966610944 is an abundant number, since it is smaller than the sum of its proper divisors (2041746772).

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

966610944 is a wasteful number, since it uses less digits than its factorization.

966610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 966610944 is about 31090.3673828406. The cubic root of 966610944 is about 988.7440946179.

The spelling of 966610944 in words is "nine hundred sixty-six million, six hundred ten thousand, nine hundred forty-four".