181008 has 40 divisors (see below), whose sum is σ = 520800. Its totient is φ = 60192.

The previous prime is 181003. The next prime is 181019. The reversal of 181008 is 800181.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (181001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2¹⁸¹⁰⁰⁸ is an apocalyptic number.

181008 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 181008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

181008 is an abundant number, since it is smaller than the sum of its proper divisors (339792).

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

181008 is a wasteful number, since it uses less digits than its factorization.

181008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 181008 is about 425.4503496297. The cubic root of 181008 is about 56.5673616386.

Adding to 181008 its reverse (800181), we get a palindrome (981189).

The spelling of 181008 in words is "one hundred eighty-one thousand, eight".