163908 has 36 divisors (see below), whose sum is σ = 431340. Its totient is φ = 52416.

The previous prime is 163901. The next prime is 163909. The reversal of 163908 is 809361.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 97344 = 258^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (163901) by changing a digit.

163908 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 11 ways as a sum of consecutive naturals, for example, 966 + ... + 1122.

2¹⁶³⁹⁰⁸ is an apocalyptic number.

163908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215670).

163908 is an abundant number, since it is smaller than the sum of its proper divisors (267432).

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

163908 is a wasteful number, since it uses less digits than its factorization.

163908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 163908 is about 404.8555297881. The cubic root of 163908 is about 54.7267994526.

The spelling of 163908 in words is "one hundred sixty-three thousand, nine hundred eight".