9826816 has 40 divisors (see below), whose sum is σ = 20807820. Its totient is φ = 4620288.

The previous prime is 9826813. The next prime is 9826829. The reversal of 9826816 is 6186289.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 92416 = 3120^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (9826811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8140 + ... + 9268.

Almost surely, 2^9826816 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 9826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403910).

9826816 is an abundant number, since it is smaller than the sum of its proper divisors (10981004).

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

9826816 is a wasteful number, since it uses less digits than its factorization.

9826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 9826816 is about 3134.7752710521. The cubic root of 9826816 is about 214.1925073582.

The spelling of 9826816 in words is "nine million, eight hundred twenty-six thousand, eight hundred sixteen".