9930816 has 112 divisors (see below), whose sum is σ = 33406080. Its totient is φ = 2833920.

The previous prime is 9930797. The next prime is 9930827. The reversal of 9930816 is 6180399.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9930816² = 197242212851712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11686 + ... + 12506.

Almost surely, 2^9930816 is an apocalyptic number.

9930816 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 9930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703040).

9930816 is an abundant number, since it is smaller than the sum of its proper divisors (23475264).

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

9930816 is a wasteful number, since it uses less digits than its factorization.

9930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9930816 is about 3151.3197235444. The cubic root of 9930816 is about 214.9454774311.

The spelling of 9930816 in words is "nine million, nine hundred thirty thousand, eight hundred sixteen".