966112 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 390528.

The previous prime is 966109. The next prime is 966113. The reversal of 966112 is 211669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4143 + ... + 4369.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁹⁶⁶¹¹² 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 966112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

966112 is an abundant number, since it is smaller than the sum of its proper divisors (1332128).

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

966112 is a wasteful number, since it uses less digits than its factorization.

966112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 966112 is about 982.9099653580. The cubic root of 966112 is about 98.8573942451.

The spelling of 966112 in words is "nine hundred sixty-six thousand, one hundred twelve".