9810816 has 64 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 3153920.

The previous prime is 9810803. The next prime is 9810847. The reversal of 9810816 is 6180189.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9810816² = 192504221171712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10696 + ... + 11576.

Almost surely, 2^9810816 is an apocalyptic number.

9810816 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 9810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

9810816 is an abundant number, since it is smaller than the sum of its proper divisors (17178384).

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

9810816 is a wasteful number, since it uses less digits than its factorization.

9810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 9810816 is about 3132.2222143392. Note that the first 4 decimals coincide. The cubic root of 9810816 is about 214.0761949538.

The spelling of 9810816 in words is "nine million, eight hundred ten thousand, eight hundred sixteen".