8004516 has 36 divisors (see below), whose sum is σ = 20229552. Its totient is φ = 2462304.

The previous prime is 8004511. The next prime is 8004547. The reversal of 8004516 is 6154008.

It is a super-3 number, since 3×8004516³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8004511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (561932).

Almost surely, 2^8004516 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 8004516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114776).

8004516 is an abundant number, since it is smaller than the sum of its proper divisors (12225036).

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

8004516 is a wasteful number, since it uses less digits than its factorization.

8004516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8004516 is about 2829.2253356705. The cubic root of 8004516 is about 200.0376262542.

The spelling of 8004516 in words is "eight million, four thousand, five hundred sixteen".