10416224 has 96 divisors (see below), whose sum is σ = 26107200. Its totient is φ = 4064256.

The previous prime is 10416221. The next prime is 10416233. The reversal of 10416224 is 42261401.

It is a junction number, because it is equal to n+sod(n) for n = 10416196 and 10416205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416221) 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 15 ways as a sum of consecutive naturals, for example, 142652 + ... + 142724.

It is an arithmetic number, because the mean of its divisors is an integer number (271950).

Almost surely, 2^10416224 is an apocalyptic number.

10416224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053600).

10416224 is an abundant number, since it is smaller than the sum of its proper divisors (15690976).

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

10416224 is an equidigital number, since it uses as much as digits as its factorization.

10416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10416224 is about 3227.4175434858. The cubic root of 10416224 is about 218.3920225006.

Adding to 10416224 its reverse (42261401), we get a palindrome (52677625).

The spelling of 10416224 in words is "ten million, four hundred sixteen thousand, two hundred twenty-four".