9964944 has 120 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 3006720.

The previous prime is 9964939. The next prime is 9964961. The reversal of 9964944 is 4494699.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 9964944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42652 + ... + 42884.

Almost surely, 2^9964944 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 9964944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

9964944 is an abundant number, since it is smaller than the sum of its proper divisors (21720528).

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

9964944 is a wasteful number, since it uses less digits than its factorization.

9964944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9964944 is about 3156.7299536071. The cubic root of 9964944 is about 215.1914213723.

The spelling of 9964944 in words is "nine million, nine hundred sixty-four thousand, nine hundred forty-four".