8004840 has 64 divisors (see below), whose sum is σ = 24615360. Its totient is φ = 2081280.

The previous prime is 8004823. The next prime is 8004853. The reversal of 8004840 is 484008.

It is a super-3 number, since 3×8004840³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8004840.

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 15 ways as a sum of consecutive naturals, for example, 4107 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (384615).

Almost surely, 2^8004840 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 8004840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307680).

8004840 is an abundant number, since it is smaller than the sum of its proper divisors (16610520).

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

8004840 is a wasteful number, since it uses less digits than its factorization.

8004840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

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

The square root of 8004840 is about 2829.2825945812. The cubic root of 8004840 is about 200.0403252022.

Adding to 8004840 its reverse (484008), we get a palindrome (8488848).

The spelling of 8004840 in words is "eight million, four thousand, eight hundred forty".