8413824 has 32 divisors (see below), whose sum is σ = 22350240. Its totient is φ = 2804480.

The previous prime is 8413807. The next prime is 8413829. The reversal of 8413824 is 4283148.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8413791 and 8413800.

It is not an unprimeable number, because it can be changed into a prime (8413829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10572 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (698445).

Almost surely, 2^8413824 is an apocalyptic number.

It is an amenable number.

8413824 is an abundant number, since it is smaller than the sum of its proper divisors (13936416).

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

8413824 is a wasteful number, since it uses less digits than its factorization.

8413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21928 (or 21916 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 8413824 is about 2900.6592354153. The cubic root of 8413824 is about 203.3907234462.

The spelling of 8413824 in words is "eight million, four hundred thirteen thousand, eight hundred twenty-four".