9008079360 has 320 divisors, whose sum is σ = 34647782400. Its totient is φ = 1950400512.

The previous prime is 9008079317. The next prime is 9008079371. The reversal of 9008079360 is 639708009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×9008079360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017031 + ... + 1025849.

It is an arithmetic number, because the mean of its divisors is an integer number (108274320).

Almost surely, 2^9008079360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9008079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323891200).

9008079360 is an abundant number, since it is smaller than the sum of its proper divisors (25639703040).

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

9008079360 is a wasteful number, since it uses less digits than its factorization.

9008079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9008079360 is about 94910.9022188705. The cubic root of 9008079360 is about 2080.7060719284.

The spelling of 9008079360 in words is "nine billion, eight million, seventy-nine thousand, three hundred sixty".