9786816 has 84 divisors (see below), whose sum is σ = 30233112. Its totient is φ = 3009024.

The previous prime is 9786787. The next prime is 9786827. The reversal of 9786816 is 6186879.

It is a happy number.

It is an Ulam number.

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, 6835 + ... + 8141.

It is an arithmetic number, because the mean of its divisors is an integer number (359918).

Almost surely, 2^9786816 is an apocalyptic number.

9786816 is a gapful number since it is divisible by the number (96) 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 9786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116556).

9786816 is an abundant number, since it is smaller than the sum of its proper divisors (20446296).

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

9786816 is a wasteful number, since it uses less digits than its factorization.

9786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9786816 is about 3128.3887226494. The cubic root of 9786816 is about 213.9014889999.

The spelling of 9786816 in words is "nine million, seven hundred eighty-six thousand, eight hundred sixteen".