8003820609 has 36 divisors (see below), whose sum is σ = 12566924656. Its totient is φ = 4905145728.

The previous prime is 8003820581. The next prime is 8003820611. The reversal of 8003820609 is 9060283008.

It is not a de Polignac number, because 8003820609 - 2¹⁷ = 8003689537 is a prime.

It is a super-2 number, since 2×8003820609² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8003820619) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76062 + ... + 147624.

Almost surely, 2^8003820609 is an apocalyptic number.

It is an amenable number.

8003820609 is a deficient number, since it is larger than the sum of its proper divisors (4563104047).

8003820609 is a wasteful number, since it uses less digits than its factorization.

8003820609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71646 (or 71626 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8003820609 is about 89464.0744041987. The cubic root of 8003820609 is about 2000.3183334126.

The spelling of 8003820609 in words is "eight billion, three million, eight hundred twenty thousand, six hundred nine".