9008971200 has 336 divisors, whose sum is σ = 34272687360. Its totient is φ = 2297687040.

The previous prime is 9008971171. The next prime is 9008971241. The reversal of 9008971200 is 21798009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989067 + ... + 998133.

Almost surely, 2^9008971200 is an apocalyptic number.

9008971200 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 9008971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136343680).

9008971200 is an abundant number, since it is smaller than the sum of its proper divisors (25263716160).

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

9008971200 is a wasteful number, since it uses less digits than its factorization.

9008971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9121 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9008971200 is about 94915.6004037271. The cubic root of 9008971200 is about 2080.7747360536.

The spelling of 9008971200 in words is "nine billion, eight million, nine hundred seventy-one thousand, two hundred".