8003920 has 20 divisors (see below), whose sum is σ = 18609300. Its totient is φ = 3201536.

The previous prime is 8003909. The next prime is 8003927. The reversal of 8003920 is 293008.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 7011904 = 996^2 + 2648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8003891 and 8003900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003927) 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, 49945 + ... + 50104.

It is an arithmetic number, because the mean of its divisors is an integer number (930465).

Almost surely, 2^8003920 is an apocalyptic number.

8003920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8003920 is an abundant number, since it is smaller than the sum of its proper divisors (10605380).

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

8003920 is a wasteful number, since it uses less digits than its factorization.

8003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100062 (or 100056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 8003920 is about 2829.1200045244. The cubic root of 8003920 is about 200.0326613326.

Adding to 8003920 its reverse (293008), we get a palindrome (8296928).

The spelling of 8003920 in words is "eight million, three thousand, nine hundred twenty".