9964416 has 128 divisors (see below), whose sum is σ = 33096960. Its totient is φ = 2580480.

The previous prime is 9964403. The next prime is 9964439. The reversal of 9964416 is 6144699.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29400 + ... + 29736.

It is an arithmetic number, because the mean of its divisors is an integer number (258570).

Almost surely, 2^9964416 is an apocalyptic number.

9964416 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 9964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548480).

9964416 is an abundant number, since it is smaller than the sum of its proper divisors (23132544).

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

9964416 is a wasteful number, since it uses less digits than its factorization.

9964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 9964416 is about 3156.6463216521. The cubic root of 9964416 is about 215.1876206125.

The spelling of 9964416 in words is "nine million, nine hundred sixty-four thousand, four hundred sixteen".