9071961600 has 480 divisors, whose sum is σ = 34204373280. Its totient is φ = 2099773440.

The previous prime is 9071961533. The next prime is 9071961601. The reversal of 9071961600 is 61691709.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9071961601) 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 47 ways as a sum of consecutive naturals, for example, 8485866 + ... + 8486934.

It is an arithmetic number, because the mean of its divisors is an integer number (71259111).

Almost surely, 2^9071961600 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 9071961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102186640).

9071961600 is an abundant number, since it is smaller than the sum of its proper divisors (25132411680).

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

9071961600 is a wasteful number, since it uses less digits than its factorization.

9071961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 9071961600 is about 95246.8456170597. The cubic root of 9071961600 is about 2085.6130442597.

The spelling of 9071961600 in words is "nine billion, seventy-one million, nine hundred sixty-one thousand, six hundred".