11220624 has 60 divisors (see below), whose sum is σ = 31898256. Its totient is φ = 3681216.

The previous prime is 11220623. The next prime is 11220631. The reversal of 11220624 is 42602211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220597 and 11220606.

It is not an unprimeable number, because it can be changed into a prime (11220623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9067 + ... + 10229.

Almost surely, 2^11220624 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 11220624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949128).

11220624 is an abundant number, since it is smaller than the sum of its proper divisors (20677632).

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

11220624 is a wasteful number, since it uses less digits than its factorization.

11220624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11220624 is about 3349.7199882975. The cubic root of 11220624 is about 223.8750365918.

Adding to 11220624 its reverse (42602211), we get a palindrome (53822835).

It can be divided in two parts, 112 and 20624, that added together give a 4-th power (20736 = 12⁴).

The spelling of 11220624 in words is "eleven million, two hundred twenty thousand, six hundred twenty-four".