8006824 has 16 divisors (see below), whose sum is σ = 17157600. Its totient is φ = 3431472.

The previous prime is 8006821. The next prime is 8006827. The reversal of 8006824 is 4286008.

It is an interprime number because it is at equal distance from previous prime (8006821) and next prime (8006827).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8006792 and 8006801.

It is not an unprimeable number, because it can be changed into a prime (8006821) 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 3 ways as a sum of consecutive naturals, for example, 71434 + ... + 71545.

It is an arithmetic number, because the mean of its divisors is an integer number (1072350).

Almost surely, 2^8006824 is an apocalyptic number.

It is an amenable number.

8006824 is an abundant number, since it is smaller than the sum of its proper divisors (9150776).

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

8006824 is a wasteful number, since it uses less digits than its factorization.

8006824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142992 (or 142988 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 8006824 is about 2829.6331917759. The cubic root of 8006824 is about 200.0568505052.

The spelling of 8006824 in words is "eight million, six thousand, eight hundred twenty-four".