966912 has 36 divisors (see below), whose sum is σ = 2575440. Its totient is φ = 322048.

The previous prime is 966907. The next prime is 966913. The reversal of 966912 is 219669.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (966913) by changing a digit.

966912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

2⁹⁶⁶⁹¹² 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 966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287720).

966912 is an abundant number, since it is smaller than the sum of its proper divisors (1608528).

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

966912 is a wasteful number, since it uses less digits than its factorization.

966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1264 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 966912 is about 983.3168360198. The cubic root of 966912 is about 98.8846733791.

The spelling of 966912 in words is "nine hundred sixty-six thousand, nine hundred twelve".