9876768 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2914560.

The previous prime is 9876761. The next prime is 9876781. The reversal of 9876768 is 8676789.

It is a happy number.

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

It is a super-2 number, since 2×9876768² = 195101092251648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9876768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9876761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49533 + ... + 49731.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^9876768 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 9876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

9876768 is an abundant number, since it is smaller than the sum of its proper divisors (19153632).

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

9876768 is a wasteful number, since it uses less digits than its factorization.

9876768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 9876768 is about 3142.7325689597. The cubic root of 9876768 is about 214.5548243103.

The spelling of 9876768 in words is "nine million, eight hundred seventy-six thousand, seven hundred sixty-eight".