963168 has 48 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 314496.

The previous prime is 963163. The next prime is 963173. The reversal of 963168 is 861369.

It is an interprime number because it is at equal distance from previous prime (963163) and next prime (963173).

It is a tau number, because it is divible by the number of its divisors (48).

963168 is a modest number, since divided by 3168 gives 96 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963163) by changing a digit.

963168 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 7 ways as a sum of consecutive naturals, for example, 7521 + ... + 7647.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

2⁹⁶³¹⁶⁸ 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 963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

963168 is an abundant number, since it is smaller than the sum of its proper divisors (1617312).

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

963168 is a wasteful number, since it uses less digits than its factorization.

963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 963168 is about 981.4112287925. The cubic root of 963168 is about 98.7568771582.

The spelling of 963168 in words is "nine hundred sixty-three thousand, one hundred sixty-eight".