8003680 has 24 divisors (see below), whose sum is σ = 18909072. Its totient is φ = 3201408.

The previous prime is 8003669. The next prime is 8003687. The reversal of 8003680 is 863008.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24852 + ... + 25171.

It is an arithmetic number, because the mean of its divisors is an integer number (787878).

Almost surely, 2^8003680 is an apocalyptic number.

8003680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8003680 is an abundant number, since it is smaller than the sum of its proper divisors (10905392).

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

8003680 is a wasteful number, since it uses less digits than its factorization.

8003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50038 (or 50030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8003680 is about 2829.0775881902. The cubic root of 8003680 is about 200.0306619656.

Adding to 8003680 its reverse (863008), we get a palindrome (8866688).

The spelling of 8003680 in words is "eight million, three thousand, six hundred eighty".