966432768 has 192 divisors, whose sum is σ = 3075770880. Its totient is φ = 263847936.

The previous prime is 966432763. The next prime is 966432769. The reversal of 966432768 is 867234669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 966432768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966432763) 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, 988696 + ... + 989672.

It is an arithmetic number, because the mean of its divisors is an integer number (16019640).

Almost surely, 2^966432768 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 966432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537885440).

966432768 is an abundant number, since it is smaller than the sum of its proper divisors (2109338112).

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

966432768 is a wasteful number, since it uses less digits than its factorization.

966432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1012 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 966432768 is about 31087.5017973461. The cubic root of 966432768 is about 988.6833389455.

The spelling of 966432768 in words is "nine hundred sixty-six million, four hundred thirty-two thousand, seven hundred sixty-eight".