7636224 has 72 divisors (see below), whose sum is σ = 20783392. Its totient is φ = 2488320.

The previous prime is 7636177. The next prime is 7636229. The reversal of 7636224 is 4226367.

It is a junction number, because it is equal to n+sod(n) for n = 7636191 and 7636200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7636229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46767 + ... + 46929.

Almost surely, 2^7636224 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 7636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391696).

7636224 is an abundant number, since it is smaller than the sum of its proper divisors (13147168).

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

7636224 is a wasteful number, since it uses less digits than its factorization.

7636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 7636224 is about 2763.3718533704. The cubic root of 7636224 is about 196.9213872051.

The spelling of 7636224 in words is "seven million, six hundred thirty-six thousand, two hundred twenty-four".