11008 has 18 divisors (see below), whose sum is σ = 22484. Its totient is φ = 5376.

The previous prime is 11003. The next prime is 11027. The reversal of 11008 is 80011.

11008 is nontrivially palindromic in base 7.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10985 and 11003.

It is not an unprimeable number, because it can be changed into a prime (11003) by changing a digit.

11008 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 as a sum of consecutive naturals, namely, 235 + ... + 277.

2¹¹⁰⁰⁸ 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 11008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242).

11008 is an abundant number, since it is smaller than the sum of its proper divisors (11476).

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

11008 is an frugal number, since it uses more digits than its factorization.

11008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11008 is about 104.9190163888. The cubic root of 11008 is about 22.2451910661.

Adding to 11008 its reverse (80011), we get a palindrome (91019).

The spelling of 11008 in words is "eleven thousand, eight".