10080224 has 48 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3926400.

The previous prime is 10080223. The next prime is 10080247. The reversal of 10080224 is 42208001.

It is a super-2 number, since 2×10080224² = 203221831780352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^10080224 is an apocalyptic number.

10080224 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 10080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

10080224 is an abundant number, since it is smaller than the sum of its proper divisors (14668192).

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

10080224 is a wasteful number, since it uses less digits than its factorization.

10080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10080224 is about 3174.9368497657. The cubic root of 10080224 is about 216.0180597611.

Adding to 10080224 its reverse (42208001), we get a palindrome (52288225).

The spelling of 10080224 in words is "ten million, eighty thousand, two hundred twenty-four".