9006171640 has 32 divisors (see below), whose sum is σ = 21144926880. Its totient is φ = 3445839232.

The previous prime is 9006171619. The next prime is 9006171641. The reversal of 9006171640 is 461716009.

9006171640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9006171640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9006171596 and 9006171605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006171641) 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, 4893739 + ... + 4895578.

It is an arithmetic number, because the mean of its divisors is an integer number (660778965).

Almost surely, 2^9006171640 is an apocalyptic number.

It is an amenable number.

9006171640 is an abundant number, since it is smaller than the sum of its proper divisors (12138755240).

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

9006171640 is a wasteful number, since it uses less digits than its factorization.

9006171640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789351 (or 9789347 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 9006171640 is about 94900.8516294770. The cubic root of 9006171640 is about 2080.5591784315.

Adding to 9006171640 its reverse (461716009), we get a palindrome (9467887649).

The spelling of 9006171640 in words is "nine billion, six million, one hundred seventy-one thousand, six hundred forty".