9833160960 has 432 divisors, whose sum is σ = 39539136000. Its totient is φ = 2209628160.

The previous prime is 9833160949. The next prime is 9833160979. The reversal of 9833160960 is 690613389.

9833160960 is a `hidden beast` number, since 9 + 8 + 3 + 31 + 609 + 6 + 0 = 666.

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

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, 4918041 + ... + 4920039.

Almost surely, 2^9833160960 is an apocalyptic number.

9833160960 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 9833160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769568000).

9833160960 is an abundant number, since it is smaller than the sum of its proper divisors (29705975040).

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

9833160960 is a wasteful number, since it uses less digits than its factorization.

9833160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9833160960 is about 99162.2960605491. The cubic root of 9833160960 is about 2142.3859724450.

The spelling of 9833160960 in words is "nine billion, eight hundred thirty-three million, one hundred sixty thousand, nine hundred sixty".