9000616320 has 320 divisors, whose sum is σ = 33256753200. Its totient is φ = 2317012992.

The previous prime is 9000616277. The next prime is 9000616351. The reversal of 9000616320 is 236160009.

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 2×9000616320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1500367 + ... + 1506353.

Almost surely, 2^9000616320 is an apocalyptic number.

9000616320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628376600).

9000616320 is an abundant number, since it is smaller than the sum of its proper divisors (24256136880).

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

9000616320 is a wasteful number, since it uses less digits than its factorization.

9000616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9000616320 is about 94871.5780410551. The cubic root of 9000616320 is about 2080.1313033482.

Adding to 9000616320 its reverse (236160009), we get a palindrome (9236776329).

The spelling of 9000616320 in words is "nine billion, six hundred sixteen thousand, three hundred twenty".