163968 has 64 divisors (see below), whose sum is σ = 505920. Its totient is φ = 46080.
The previous prime is 163927. The next prime is 163973. The reversal of 163968 is 869361.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
163968 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 (3) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2658 + ... + 2718.
It is an arithmetic number, because the mean of its divisors is an integer number (7905).
163968 is a Friedman number, since it can be written as 896*61*3, using all its digits and the basic arithmetic operations.
2163968 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 163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960).
163968 is an abundant number, since it is smaller than the sum of its proper divisors (341952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163968 is an equidigital number, since it uses as much as digits as its factorization.
163968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 73 counting only the distinct ones).
The product of its digits is 7776, while the sum is 33.
The square root of 163968 is about 404.9296235150. The cubic root of 163968 is about 54.7334763839.
The spelling of 163968 in words is "one hundred sixty-three thousand, nine hundred sixty-eight".
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