11006616 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 3381248.

The previous prime is 11006609. The next prime is 11006623. The reversal of 11006616 is 61660011.

It is an interprime number because it is at equal distance from previous prime (11006609) and next prime (11006623).

It is a super-2 number, since 2×11006616² = 242291191542912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006592 and 11006601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21370 + ... + 21878.

Almost surely, 2^11006616 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 11006616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

11006616 is an abundant number, since it is smaller than the sum of its proper divisors (18736584).

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

11006616 is a wasteful number, since it uses less digits than its factorization.

11006616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11006616 is about 3317.6220399557. The cubic root of 11006616 is about 222.4425875520.

Adding to 11006616 its reverse (61660011), we get a palindrome (72666627).

The spelling of 11006616 in words is "eleven million, six thousand, six hundred sixteen".