9604892160 has 480 divisors, whose sum is σ = 36022203360. Its totient is φ = 2356936704.

The previous prime is 9604892159. The next prime is 9604892173. The reversal of 9604892160 is 612984069.

It is a happy number.

9604892160 is a `hidden beast` number, since 9 + 6 + 0 + 489 + 2 + 160 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16196824 + ... + 16197416.

It is an arithmetic number, because the mean of its divisors is an integer number (75046257).

Almost surely, 2^9604892160 is an apocalyptic number.

9604892160 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 9604892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011101680).

9604892160 is an abundant number, since it is smaller than the sum of its proper divisors (26417311200).

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

9604892160 is a wasteful number, since it uses less digits than its factorization.

9604892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9604892160 is about 98004.5517310293. The cubic root of 9604892160 is about 2125.6780975951.

The spelling of 9604892160 in words is "nine billion, six hundred four million, eight hundred ninety-two thousand, one hundred sixty".