8004884 has 24 divisors (see below), whose sum is σ = 14424480. Its totient is φ = 3885536.

The previous prime is 8004877. The next prime is 8004889. The reversal of 8004884 is 4884008.

8004884 is a modest number, since divided by 4884 gives 8 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 8004884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25094 + ... + 25410.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 2^8004884 is an apocalyptic number.

It is an amenable number.

8004884 is a deficient number, since it is larger than the sum of its proper divisors (6419596).

8004884 is a wasteful number, since it uses less digits than its factorization.

8004884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8004884 is about 2829.2903703933. The cubic root of 8004884 is about 200.0406917204.

It can be divided in two parts, 8004 and 884, that added together give a palindrome (8888).

The spelling of 8004884 in words is "eight million, four thousand, eight hundred eighty-four".