966072096 has 240 divisors, whose sum is σ = 3202391808. Its totient is φ = 283046400.

The previous prime is 966072089. The next prime is 966072097. The reversal of 966072096 is 690270669.

It is not an unprimeable number, because it can be changed into a prime (966072097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883326 + ... + 884418.

Almost surely, 2^966072096 is an apocalyptic number.

966072096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601195904).

966072096 is an abundant number, since it is smaller than the sum of its proper divisors (2236319712).

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

966072096 is a wasteful number, since it uses less digits than its factorization.

966072096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 966072096 is about 31081.7003395889. The cubic root of 966072096 is about 988.5603316766.

The spelling of 966072096 in words is "nine hundred sixty-six million, seventy-two thousand, ninety-six".