11005008 has 60 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 3143616.

The previous prime is 11004979. The next prime is 11005013. The reversal of 11005008 is 80050011.

It is a happy number.

11005008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11005008² = 242220402160128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 2^11005008 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 11005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

11005008 is an abundant number, since it is smaller than the sum of its proper divisors (22073232).

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

11005008 is a wasteful number, since it uses less digits than its factorization.

11005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11005008 is about 3317.3796888508. The cubic root of 11005008 is about 222.4317545190.

Adding to 11005008 its reverse (80050011), we get a palindrome (91055019).

The spelling of 11005008 in words is "eleven million, five thousand, eight".