10320224 has 48 divisors (see below), whose sum is σ = 21936096. Its totient is φ = 4761600.

The previous prime is 10320223. The next prime is 10320227. The reversal of 10320224 is 42202301.

10320224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10320199 and 10320208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320223) 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, 33029 + ... + 33339.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 2^10320224 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 10320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048).

10320224 is an abundant number, since it is smaller than the sum of its proper divisors (11615872).

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

10320224 is a wasteful number, since it uses less digits than its factorization.

10320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10320224 is about 3212.5105447298. The cubic root of 10320224 is about 217.7190218959.

Adding to 10320224 its reverse (42202301), we get a palindrome (52522525).

The spelling of 10320224 in words is "ten million, three hundred twenty thousand, two hundred twenty-four".