10413824 has 36 divisors (see below), whose sum is σ = 21891240. Its totient is φ = 4930560.

The previous prime is 10413773. The next prime is 10413833. The reversal of 10413824 is 42831401.

It is a self number, because there is not a number n which added to its sum of digits gives 10413824.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3794 + ... + 5934.

It is an arithmetic number, because the mean of its divisors is an integer number (608090).

Almost surely, 2^10413824 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 10413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945620).

10413824 is an abundant number, since it is smaller than the sum of its proper divisors (11477416).

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

10413824 is an equidigital number, since it uses as much as digits as its factorization.

10413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10413824 is about 3227.0457077643. The cubic root of 10413824 is about 218.3752479921.

The spelling of 10413824 in words is "ten million, four hundred thirteen thousand, eight hundred twenty-four".