9171126720 has 896 divisors, whose sum is σ = 40731033600. Its totient is φ = 1894109184.

The previous prime is 9171126719. The next prime is 9171126733. The reversal of 9171126720 is 276211719.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26429587 + ... + 26429933.

Almost surely, 2^9171126720 is an apocalyptic number.

9171126720 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 9171126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20365516800).

9171126720 is an abundant number, since it is smaller than the sum of its proper divisors (31559906880).

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

9171126720 is a wasteful number, since it uses less digits than its factorization.

9171126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 9171126720 is about 95765.9998120419. Note that the first 3 decimals coincide. The cubic root of 9171126720 is about 2093.1847632352.

Adding to 9171126720 its sum of digits (36), we get a square (9171126756 = 95766²).

The spelling of 9171126720 in words is "nine billion, one hundred seventy-one million, one hundred twenty-six thousand, seven hundred twenty".