9945216 has 96 divisors (see below), whose sum is σ = 29238300. Its totient is φ = 3244032.

The previous prime is 9945211. The next prime is 9945233. The reversal of 9945216 is 6125499.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 360000 = 3096^2 + 600^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102480 + ... + 102576.

Almost surely, 2^9945216 is an apocalyptic number.

9945216 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 9945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619150).

9945216 is an abundant number, since it is smaller than the sum of its proper divisors (19293084).

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

9945216 is a wasteful number, since it uses less digits than its factorization.

9945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9945216 is about 3153.6036529659. The cubic root of 9945216 is about 215.0493198554.

The spelling of 9945216 in words is "nine million, nine hundred forty-five thousand, two hundred sixteen".