9871061760 has 1080 divisors, whose sum is σ = 43138252080. Its totient is φ = 2145927168.

The previous prime is 9871061741. The next prime is 9871061779. The reversal of 9871061760 is 671601789.

It is an interprime number because it is at equal distance from previous prime (9871061741) and next prime (9871061779).

It is a tau number, because it is divible by the number of its divisors (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 147329247 + ... + 147329313.

It is an arithmetic number, because the mean of its divisors is an integer number (39942826).

Almost surely, 2^9871061760 is an apocalyptic number.

9871061760 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 9871061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21569126040).

9871061760 is an abundant number, since it is smaller than the sum of its proper divisors (33267190320).

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

9871061760 is a wasteful number, since it uses less digits than its factorization.

9871061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 9871061760 is about 99353.2171597880. The cubic root of 9871061760 is about 2145.1349712126.

The spelling of 9871061760 in words is "nine billion, eight hundred seventy-one million, sixty-one thousand, seven hundred sixty".