9876845160 has 640 divisors, whose sum is σ = 41322758400. Its totient is φ = 2060328960.

The previous prime is 9876845159. The next prime is 9876845161. The reversal of 9876845160 is 615486789.

It is an interprime number because it is at equal distance from previous prime (9876845159) and next prime (9876845161).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9876845097 and 9876845106.

It is not an unprimeable number, because it can be changed into a prime (9876845161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40982640 + ... + 40982880.

It is an arithmetic number, because the mean of its divisors is an integer number (64566810).

Almost surely, 2^9876845160 is an apocalyptic number.

9876845160 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 9876845160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661379200).

9876845160 is an abundant number, since it is smaller than the sum of its proper divisors (31445913240).

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

9876845160 is a wasteful number, since it uses less digits than its factorization.

9876845160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9876845160 is about 99382.3181456339. The cubic root of 9876845160 is about 2145.5538302904.

The spelling of 9876845160 in words is "nine billion, eight hundred seventy-six million, eight hundred forty-five thousand, one hundred sixty".