7988224 has 44 divisors (see below), whose sum is σ = 16580700. Its totient is φ = 3842048.

The previous prime is 7988221. The next prime is 7988237. The reversal of 7988224 is 4228897.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 5914624 = 1440^2 + 2432^2 .

It is not an unprimeable number, because it can be changed into a prime (7988221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29562 + ... + 29830.

Almost surely, 2^7988224 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 7988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290350).

7988224 is an abundant number, since it is smaller than the sum of its proper divisors (8592476).

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

7988224 is a wasteful number, since it uses less digits than its factorization.

7988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 7988224 is about 2826.3446357442. The cubic root of 7988224 is about 199.9018184765.

It can be divided in two parts, 79 and 88224, that multiplied together give a palindrome (6969696).

The spelling of 7988224 in words is "seven million, nine hundred eighty-eight thousand, two hundred twenty-four".