9678816 has 72 divisors (see below), whose sum is σ = 31462704. Its totient is φ = 2764800.

The previous prime is 9678787. The next prime is 9678821. The reversal of 9678816 is 6188769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 385 + ... + 4416.

It is an arithmetic number, because the mean of its divisors is an integer number (436982).

Almost surely, 2^9678816 is an apocalyptic number.

9678816 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 9678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731352).

9678816 is an abundant number, since it is smaller than the sum of its proper divisors (21783888).

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

9678816 is a wasteful number, since it uses less digits than its factorization.

9678816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4813 counting only the distinct ones).

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

The square root of 9678816 is about 3111.0795553955. The cubic root of 9678816 is about 213.1117577907. Note that the first 3 decimals are identical.

The spelling of 9678816 in words is "nine million, six hundred seventy-eight thousand, eight hundred sixteen".