9609015936 has 192 divisors, whose sum is σ = 28416800160. Its totient is φ = 2859816960.

The previous prime is 9609015931. The next prime is 9609015937. The reversal of 9609015936 is 6395109069.

9609015936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9609015931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4796311 + ... + 4798313.

Almost surely, 2^9609015936 is an apocalyptic number.

9609015936 is a gapful number since it is divisible by the number (96) 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 9609015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208400080).

9609015936 is an abundant number, since it is smaller than the sum of its proper divisors (18807784224).

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

9609015936 is a wasteful number, since it uses less digits than its factorization.

9609015936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 9609015936 is about 98025.5881696203. The cubic root of 9609015936 is about 2125.9822678022.

The spelling of 9609015936 in words is "nine billion, six hundred nine million, fifteen thousand, nine hundred thirty-six".