9840166560 has 576 divisors, whose sum is σ = 39688766208. Its totient is φ = 2173796352.

The previous prime is 9840166517. The next prime is 9840166561. The reversal of 9840166560 is 656610489.

9840166560 is a `hidden beast` number, since 9 + 84 + 0 + 1 + 6 + 6 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9840166561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60369039 + ... + 60369201.

It is an arithmetic number, because the mean of its divisors is an integer number (68904108).

Almost surely, 2^9840166560 is an apocalyptic number.

9840166560 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 9840166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19844383104).

9840166560 is an abundant number, since it is smaller than the sum of its proper divisors (29848599648).

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

9840166560 is a wasteful number, since it uses less digits than its factorization.

9840166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9840166560 is about 99197.6136809752. The cubic root of 9840166560 is about 2142.8946300490.

It can be divided in two parts, 9840 and 166560, that added together give a square (176400 = 420²).

The spelling of 9840166560 in words is "nine billion, eight hundred forty million, one hundred sixty-six thousand, five hundred sixty".