9876540312 has 96 divisors (see below), whose sum is σ = 27514515600. Its totient is φ = 3198763008.

The previous prime is 9876540299. The next prime is 9876540341. The reversal of 9876540312 is 2130456789.

9876540312 is a `hidden beast` number, since 9 + 8 + 76 + 540 + 31 + 2 = 666.

9876540312 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9876540312² (a number of 21 digits) contains 22 as substring.

9876540312 is strictly pandigital in base 10.

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 23 ways as a sum of consecutive naturals, for example, 589264 + ... + 605792.

It is a 2-persistent number, because it is pandigital, and so is 2⋅9876540312 = 19753080624, but 3⋅9876540312 = 29629620936 is not.

Almost surely, 2^9876540312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757257800).

9876540312 is an abundant number, since it is smaller than the sum of its proper divisors (17637975288).

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

9876540312 is a wasteful number, since it uses less digits than its factorization.

9876540312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777 (or 16770 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9876540312 is about 99380.7844203295. The cubic root of 9876540312 is about 2145.5317559501.

The spelling of 9876540312 in words is "nine billion, eight hundred seventy-six million, five hundred forty thousand, three hundred twelve".