9963744 has 48 divisors (see below), whose sum is σ = 29893248. Its totient is φ = 2846592.

The previous prime is 9963739. The next prime is 9963749. The reversal of 9963744 is 4473699.

It is an interprime number because it is at equal distance from previous prime (9963739) and next prime (9963749).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9963696 and 9963705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963749) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6742 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (622776).

Almost surely, 2^9963744 is an apocalyptic number.

It is an amenable number.

9963744 is an abundant number, since it is smaller than the sum of its proper divisors (19929504).

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

9963744 is a wasteful number, since it uses less digits than its factorization.

9963744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847 (or 14839 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 9963744 is about 3156.5398777776. The cubic root of 9963744 is about 215.1827830875.

It can be divided in two parts, 99637 and 44, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 9963744 in words is "nine million, nine hundred sixty-three thousand, seven hundred forty-four".