9008947200 has 672 divisors, whose sum is σ = 34324088832. Its totient is φ = 2064384000.

The previous prime is 9008947193. The next prime is 9008947229. The reversal of 9008947200 is 27498009.

It is a super-2 number, since 2×9008947200² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 209510379 + ... + 209510421.

Almost surely, 2^9008947200 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 9008947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162044416).

9008947200 is an abundant number, since it is smaller than the sum of its proper divisors (25315141632).

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

9008947200 is a wasteful number, since it uses less digits than its factorization.

9008947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 9008947200 is about 94915.4739755326. The cubic root of 9008947200 is about 2080.7728883163.

The spelling of 9008947200 in words is "nine billion, eight million, nine hundred forty-seven thousand, two hundred".