966509568 has 264 divisors, whose sum is σ = 3065587200. Its totient is φ = 291962880.

The previous prime is 966509549. The next prime is 966509587. The reversal of 966509568 is 865905669.

It is an interprime number because it is at equal distance from previous prime (966509549) and next prime (966509587).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4856733 + ... + 4856931.

Almost surely, 2^966509568 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 966509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532793600).

966509568 is an abundant number, since it is smaller than the sum of its proper divisors (2099077632).

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

966509568 is a wasteful number, since it uses less digits than its factorization.

966509568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 966509568 is about 31088.7369958961. The cubic root of 966509568 is about 988.7095276509.

The spelling of 966509568 in words is "nine hundred sixty-six million, five hundred nine thousand, five hundred sixty-eight".