163008 has 42 divisors (see below), whose sum is σ = 468884. Its totient is φ = 54144.

The previous prime is 163003. The next prime is 163019. The reversal of 163008 is 800361.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163008.

It is not an unprimeable number, because it can be changed into a prime (163003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 435 + ... + 717.

2¹⁶³⁰⁰⁸ is an apocalyptic number.

163008 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 163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234442).

163008 is an abundant number, since it is smaller than the sum of its proper divisors (305876).

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

163008 is a wasteful number, since it uses less digits than its factorization.

163008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 163008 is about 403.7424921903. The cubic root of 163008 is about 54.6264493678.

Adding to 163008 its reverse (800361), we get a palindrome (963369).

The spelling of 163008 in words is "one hundred sixty-three thousand, eight".