9984000907 has 8 divisors (see below), whose sum is σ = 10604648736. Its totient is φ = 9367059072.

The previous prime is 9984000877. The next prime is 9984000937. The reversal of 9984000907 is 7090004899.

9984000907 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9984000877) and next prime (9984000937).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9984000907 is a prime.

It is a super-2 number, since 2×9984000907² (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 (9984000937) 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 7 ways as a sum of consecutive naturals, for example, 920943 + ... + 931720.

It is an arithmetic number, because the mean of its divisors is an integer number (1325581092).

Almost surely, 2^9984000907 is an apocalyptic number.

9984000907 is a deficient number, since it is larger than the sum of its proper divisors (620647829).

9984000907 is a wasteful number, since it uses less digits than its factorization.

9984000907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852997.

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 9984000907 is about 99919.9725130066. The cubic root of 9984000907 is about 2153.2851100402.

The spelling of 9984000907 in words is "nine billion, nine hundred eighty-four million, nine hundred seven", and thus it is an aban number.