8004640 has 72 divisors (see below), whose sum is σ = 22020012. Its totient is φ = 2741760.

The previous prime is 8004631. The next prime is 8004649. The reversal of 8004640 is 464008.

It is an interprime number because it is at equal distance from previous prime (8004631) and next prime (8004649).

It can be written as a sum of positive squares in 2 ways, for example, as 7997584 + 7056 = 2828^2 + 84^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8004649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7330 + ... + 8350.

Almost surely, 2^8004640 is an apocalyptic number.

8004640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010006).

8004640 is an abundant number, since it is smaller than the sum of its proper divisors (14015372).

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

8004640 is a wasteful number, since it uses less digits than its factorization.

8004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8004640 is about 2829.2472497115. The cubic root of 8004640 is about 200.0386591935.

Adding to 8004640 its reverse (464008), we get a palindrome (8468648).

The spelling of 8004640 in words is "eight million, four thousand, six hundred forty".