9963648 has 120 divisors (see below), whose sum is σ = 30639015. Its totient is φ = 3214080.

The previous prime is 9963641. The next prime is 9963689. The reversal of 9963648 is 8463699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9963648 is a `hidden beast` number, since 9 + 9 + 636 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 4981824 = 2232^2 + 2232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2232.

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

Its product of digits (279936) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9963641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 321393 + ... + 321423.

Almost surely, 2^9963648 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 9963648

9963648 is an abundant number, since it is smaller than the sum of its proper divisors (20675367).

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

9963648 is an equidigital number, since it uses as much as digits as its factorization.

9963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

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

The square root of 9963648 is about 3156.5246712167. The cubic root of 9963648 is about 215.1820919948.

The spelling of 9963648 in words is "nine million, nine hundred sixty-three thousand, six hundred forty-eight".