966944 has 48 divisors (see below), whose sum is σ = 2159136. Its totient is φ = 422400.

The previous prime is 966937. The next prime is 966961. The reversal of 966944 is 449669.

It is a junction number, because it is equal to n+sod(n) for n = 966898 and 966907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966944.

It is an unprimeable number.

966944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14399 + ... + 14465.

It is an arithmetic number, because the mean of its divisors is an integer number (44982).

2⁹⁶⁶⁹⁴⁴ 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 966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568).

966944 is an abundant number, since it is smaller than the sum of its proper divisors (1192192).

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

966944 is a wasteful number, since it uses less digits than its factorization.

966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 966944 is about 983.3331073446. Note that the first 3 decimals coincide. The cubic root of 966944 is about 98.8857642314.

The spelling of 966944 in words is "nine hundred sixty-six thousand, nine hundred forty-four".