11006008 has 32 divisors (see below), whose sum is σ = 22473360. Its totient is φ = 5022720.

The previous prime is 11005957. The next prime is 11006011. The reversal of 11006008 is 80060011.

11006008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11006008² = 242264424192128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005982 and 11006000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9543 + ... + 10633.

Almost surely, 2^11006008 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 11006008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236680).

11006008 is an abundant number, since it is smaller than the sum of its proper divisors (11467352).

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

11006008 is a wasteful number, since it uses less digits than its factorization.

11006008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11006008 is about 3317.5304067936. The cubic root of 11006008 is about 222.4384916039.

Adding to 11006008 its reverse (80060011), we get a palindrome (91066019).

It can be divided in two parts, 1 and 1006008, that added together give a square (1006009 = 1003²).

The spelling of 11006008 in words is "eleven million, six thousand, eight".