7924224 has 160 divisors (see below), whose sum is σ = 26712576. Its totient is φ = 2027520.

The previous prime is 7924211. The next prime is 7924229. The reversal of 7924224 is 4224297.

It is a Cunningham number, because it is equal to 2815²-1.

It is a d-powerful number, because it can be written as 7³ + 9⁵ + 2⁹ + 4¹⁰ + 2¹⁹ + 2²¹ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 7924191 and 7924200.

It is not an unprimeable number, because it can be changed into a prime (7924229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118239 + ... + 118305.

Almost surely, 2^7924224 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 7924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288).

7924224 is an abundant number, since it is smaller than the sum of its proper divisors (18788352).

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

7924224 is a wasteful number, since it uses less digits than its factorization.

7924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 7924224 is about 2814.9998223801. Note that the first 3 decimals coincide. The cubic root of 7924224 is about 199.3665290243.

The spelling of 7924224 in words is "seven million, nine hundred twenty-four thousand, two hundred twenty-four".