11006624 has 48 divisors (see below), whose sum is σ = 23395680. Its totient is φ = 5080320.

The previous prime is 11006623. The next prime is 11006629. The reversal of 11006624 is 42660011.

It is a happy number.

11006624 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 2×11006624² = 242291543754752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006596 and 11006605.

It is not an unprimeable number, because it can be changed into a prime (11006623) 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, 25934 + ... + 26354.

It is an arithmetic number, because the mean of its divisors is an integer number (487410).

Almost surely, 2^11006624 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 11006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697840).

11006624 is an abundant number, since it is smaller than the sum of its proper divisors (12389056).

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

11006624 is a wasteful number, since it uses less digits than its factorization.

11006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11006624 is about 3317.6232456384. The cubic root of 11006624 is about 222.4426414450.

Adding to 11006624 its reverse (42660011), we get a palindrome (53666635).

The spelling of 11006624 in words is "eleven million, six thousand, six hundred twenty-four".