8002824 has 16 divisors (see below), whose sum is σ = 20007120. Its totient is φ = 2667600.

The previous prime is 8002823. The next prime is 8002829. The reversal of 8002824 is 4282008.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 333451 = 8002824 / (8 + 0 + 0 + 2 + 8 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8002794 and 8002803.

It is not an unprimeable number, because it can be changed into a prime (8002823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166702 + ... + 166749.

It is an arithmetic number, because the mean of its divisors is an integer number (1250445).

Almost surely, 2^8002824 is an apocalyptic number.

It is an amenable number.

8002824 is an abundant number, since it is smaller than the sum of its proper divisors (12004296).

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

8002824 is a wasteful number, since it uses less digits than its factorization.

8002824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333460 (or 333456 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8002824 is about 2828.9262980855. The cubic root of 8002824 is about 200.0235305648.

The spelling of 8002824 in words is "eight million, two thousand, eight hundred twenty-four".