8004416 has 56 divisors (see below), whose sum is σ = 19238976. Its totient is φ = 3225600.

The previous prime is 8004413. The next prime is 8004419. The reversal of 8004416 is 6144008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8004413) and next prime (8004419).

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 8004391 and 8004400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004413) 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, 7091 + ... + 8141.

Almost surely, 2^8004416 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 8004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619488).

8004416 is an abundant number, since it is smaller than the sum of its proper divisors (11234560).

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

8004416 is a wasteful number, since it uses less digits than its factorization.

8004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8004416 is about 2829.2076629332. The cubic root of 8004416 is about 200.0367932309.

The spelling of 8004416 in words is "eight million, four thousand, four hundred sixteen".