966168 has 96 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 272160.

The previous prime is 966157. The next prime is 966191. The reversal of 966168 is 861669.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13573 + ... + 13643.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁹⁶⁶¹⁶⁸ 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 966168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

966168 is an abundant number, since it is smaller than the sum of its proper divisors (2178792).

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

966168 is a wasteful number, since it uses less digits than its factorization.

966168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 966168 is about 982.9384517863. The cubic root of 966168 is about 98.8593042746.

The spelling of 966168 in words is "nine hundred sixty-six thousand, one hundred sixty-eight".