9606348000 has 288 divisors, whose sum is σ = 34235641440. Its totient is φ = 2550988800.

The previous prime is 9606347987. The next prime is 9606348007. The reversal of 9606348000 is 8436069.

9606348000 is a `hidden beast` number, since 9 + 606 + 3 + 48 + 0 + 0 + 0 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9606348007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12491616 + ... + 12492384.

It is an arithmetic number, because the mean of its divisors is an integer number (118873755).

Almost surely, 2^9606348000 is an apocalyptic number.

9606348000 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 9606348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117820720).

9606348000 is an abundant number, since it is smaller than the sum of its proper divisors (24629293440).

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

9606348000 is a wasteful number, since it uses less digits than its factorization.

9606348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9606348000 is about 98011.9788597292. The cubic root of 9606348000 is about 2125.7854904670.

The spelling of 9606348000 in words is "nine billion, six hundred six million, three hundred forty-eight thousand".