9612897120 has 288 divisors, whose sum is σ = 33530384160. Its totient is φ = 2507366400.

The previous prime is 9612897109. The next prime is 9612897131. The reversal of 9612897120 is 217982169.

9612897120 is a `hidden beast` number, since 9 + 612 + 8 + 9 + 7 + 1 + 20 = 666.

9612897120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9612897109) and next prime (9612897131).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13712770 + ... + 13713470.

It is an arithmetic number, because the mean of its divisors is an integer number (116424945).

Almost surely, 2^9612897120 is an apocalyptic number.

9612897120 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 9612897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765192080).

9612897120 is an abundant number, since it is smaller than the sum of its proper divisors (23917487040).

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

9612897120 is a wasteful number, since it uses less digits than its factorization.

9612897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9612897120 is about 98045.3829611573. The cubic root of 9612897120 is about 2126.2684649090.

The spelling of 9612897120 in words is "nine billion, six hundred twelve million, eight hundred ninety-seven thousand, one hundred twenty".