663168 has 64 divisors (see below), whose sum is σ = 1933920. Its totient is φ = 199680.

The previous prime is 663167. The next prime is 663191. The reversal of 663168 is 861366.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (663161) by changing a digit.

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, 4146 + ... + 4302.

2⁶⁶³¹⁶⁸ 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 663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966960).

663168 is an abundant number, since it is smaller than the sum of its proper divisors (1270752).

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

663168 is a wasteful number, since it uses less digits than its factorization.

663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 663168 is about 814.3512755562. The cubic root of 663168 is about 87.2049600186.

The spelling of 663168 in words is "six hundred sixty-three thousand, one hundred sixty-eight".