9945936 has 320 divisors, whose sum is σ = 39997440. Its totient is φ = 2280960.

The previous prime is 9945919. The next prime is 9945937. The reversal of 9945936 is 6395499.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9945891 and 9945900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432421 + ... + 432443.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^9945936 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 9945936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

9945936 is an abundant number, since it is smaller than the sum of its proper divisors (30051504).

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

9945936 is a wasteful number, since it uses less digits than its factorization.

9945936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 9945936 is about 3153.7178060188. The cubic root of 9945936 is about 215.0545093447.

The spelling of 9945936 in words is "nine million, nine hundred forty-five thousand, nine hundred thirty-six".