8906075409 has 144 divisors (see below), whose sum is σ = 16246386240. Its totient is φ = 4322989440.

The previous prime is 8906075401. The next prime is 8906075459. The reversal of 8906075409 is 9045706098.

8906075409 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8906075409 - 2³ = 8906075401 is a prime.

It is a super-3 number, since 3×8906075409³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8906075401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122000997 + ... + 122001069.

Almost surely, 2^8906075409 is an apocalyptic number.

It is an amenable number.

8906075409 is a deficient number, since it is larger than the sum of its proper divisors (7340310831).

8906075409 is a wasteful number, since it uses less digits than its factorization.

8906075409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 8906075409 is about 94372.0054306360. The cubic root of 8906075409 is about 2072.8225406338.

The spelling of 8906075409 in words is "eight billion, nine hundred six million, seventy-five thousand, four hundred nine".