9071322400 has 144 divisors (see below), whose sum is σ = 26798034816. Its totient is φ = 2927185920.

The previous prime is 9071322391. The next prime is 9071322401. The reversal of 9071322400 is 42231709.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (9071322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47557 + ... + 142843.

It is an arithmetic number, because the mean of its divisors is an integer number (186097464).

Almost surely, 2^9071322400 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 9071322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399017408).

9071322400 is an abundant number, since it is smaller than the sum of its proper divisors (17726712416).

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

9071322400 is a wasteful number, since it uses less digits than its factorization.

9071322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95331 (or 95318 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 9071322400 is about 95243.4900662507. The cubic root of 9071322400 is about 2085.5640598089.

The spelling of 9071322400 in words is "nine billion, seventy-one million, three hundred twenty-two thousand, four hundred".