9945984 has 64 divisors (see below), whose sum is σ = 26928000. Its totient is φ = 3251712.

The previous prime is 9945983. The next prime is 9945997. The reversal of 9945984 is 4895499.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22437 + ... + 22875.

It is an arithmetic number, because the mean of its divisors is an integer number (420750).

Almost surely, 2^9945984 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 9945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464000).

9945984 is an abundant number, since it is smaller than the sum of its proper divisors (16982016).

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

9945984 is a wasteful number, since it uses less digits than its factorization.

9945984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 9945984 is about 3153.7254160754. The cubic root of 9945984 is about 215.0548553017.

The spelling of 9945984 in words is "nine million, nine hundred forty-five thousand, nine hundred eighty-four".