966566112 has 72 divisors (see below), whose sum is σ = 2621972808. Its totient is φ = 311765760.

The previous prime is 966566089. The next prime is 966566131. The reversal of 966566112 is 211665669.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87018 + ... + 97494.

It is an arithmetic number, because the mean of its divisors is an integer number (36416289).

Almost surely, 2^966566112 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 966566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310986404).

966566112 is an abundant number, since it is smaller than the sum of its proper divisors (1655406696).

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

966566112 is a wasteful number, since it uses less digits than its factorization.

966566112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10513 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 966566112 is about 31089.6463794621. The cubic root of 966566112 is about 988.7288081986.

The spelling of 966566112 in words is "nine hundred sixty-six million, five hundred sixty-six thousand, one hundred twelve".