10041824 has 48 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 4569600.

The previous prime is 10041821. The next prime is 10041839. The reversal of 10041824 is 42814001.

It is a junction number, because it is equal to n+sod(n) for n = 10041796 and 10041805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041821) 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 7 ways as a sum of consecutive naturals, for example, 41897 + ... + 42135.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^10041824 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 10041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795680).

10041824 is an abundant number, since it is smaller than the sum of its proper divisors (11549536).

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

10041824 is a wasteful number, since it uses less digits than its factorization.

10041824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 10041824 is about 3168.8837151275. The cubic root of 10041824 is about 215.7434081574.

Adding to 10041824 its reverse (42814001), we get a palindrome (52855825).

The spelling of 10041824 in words is "ten million, forty-one thousand, eight hundred twenty-four".