9916128 has 96 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3155328.

The previous prime is 9916103. The next prime is 9916129. The reversal of 9916128 is 8216199.

9916128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 9916092 and 9916101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9916129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19623 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 2^9916128 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 9916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

9916128 is an abundant number, since it is smaller than the sum of its proper divisors (20323872).

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

9916128 is a wasteful number, since it uses less digits than its factorization.

9916128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9916128 is about 3148.9884089974. The cubic root of 9916128 is about 214.8394546919.

The spelling of 9916128 in words is "nine million, nine hundred sixteen thousand, one hundred twenty-eight".