9963968 has 56 divisors (see below), whose sum is σ = 23603712. Its totient is φ = 4080384.

The previous prime is 9963959. The next prime is 9963973. The reversal of 9963968 is 8693699.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

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 7 ways as a sum of consecutive naturals, for example, 9821 + ... + 10787.

Almost surely, 2^9963968 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 9963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801856).

9963968 is an abundant number, since it is smaller than the sum of its proper divisors (13639744).

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

9963968 is a wasteful number, since it uses less digits than its factorization.

9963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its digits is 629856, while the sum is 50.

The square root of 9963968 is about 3156.5753594679. The cubic root of 9963968 is about 215.1843956200.

The spelling of 9963968 in words is "nine million, nine hundred sixty-three thousand, nine hundred sixty-eight".