163904 has 28 divisors (see below), whose sum is σ = 352044. Its totient is φ = 75264.

The previous prime is 163901. The next prime is 163909. The reversal of 163904 is 409361.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 61504 = 320^2 + 248^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 163904.

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

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 3 ways as a sum of consecutive naturals, for example, 734 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (12573).

2¹⁶³⁹⁰⁴ 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 163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176022).

163904 is an abundant number, since it is smaller than the sum of its proper divisors (188140).

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

163904 is a wasteful number, since it uses less digits than its factorization.

163904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 163904 is about 404.8505897242. The cubic root of 163904 is about 54.7263542659.

The spelling of 163904 in words is "one hundred sixty-three thousand, nine hundred four".