8004744 has 80 divisors (see below), whose sum is σ = 24480720. Its totient is φ = 2423520.

The previous prime is 8004743. The next prime is 8004781. The reversal of 8004744 is 4474008.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8004743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6567 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (306009).

Almost surely, 2^8004744 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 8004744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240360).

8004744 is an abundant number, since it is smaller than the sum of its proper divisors (16475976).

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

8004744 is a wasteful number, since it uses less digits than its factorization.

8004744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8004744 is about 2829.2656290988. The cubic root of 8004744 is about 200.0395255215.

The spelling of 8004744 in words is "eight million, four thousand, seven hundred forty-four".