9824168160 has 192 divisors, whose sum is σ = 34466160960. Its totient is φ = 2613565440.

The previous prime is 9824168149. The next prime is 9824168173. The reversal of 9824168160 is 618614289.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989054 + ... + 1993986.

It is an arithmetic number, because the mean of its divisors is an integer number (179511255).

Almost surely, 2^9824168160 is an apocalyptic number.

9824168160 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 9824168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233080480).

9824168160 is an abundant number, since it is smaller than the sum of its proper divisors (24641992800).

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

9824168160 is a wasteful number, since it uses less digits than its factorization.

9824168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9824168160 is about 99116.9418414430. The cubic root of 9824168160 is about 2141.7326754087.

The spelling of 9824168160 in words is "nine billion, eight hundred twenty-four million, one hundred sixty-eight thousand, one hundred sixty".