9876864 has 96 divisors (see below), whose sum is σ = 28182600. Its totient is φ = 3063808.

The previous prime is 9876857. The next prime is 9876871. The reversal of 9876864 is 4686789.

It is an interprime number because it is at equal distance from previous prime (9876857) and next prime (9876871).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110932 + ... + 111020.

Almost surely, 2^9876864 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 9876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091300).

9876864 is an abundant number, since it is smaller than the sum of its proper divisors (18305736).

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

9876864 is a wasteful number, since it uses less digits than its factorization.

9876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 9876864 is about 3142.7478422552. The cubic root of 9876864 is about 214.5555194498. Note that the first 4 decimals are identical.

The spelling of 9876864 in words is "nine million, eight hundred seventy-six thousand, eight hundred sixty-four".