9968464 has 60 divisors (see below), whose sum is σ = 22429120. Its totient is φ = 4276800.

The previous prime is 9968449. The next prime is 9968473. The reversal of 9968464 is 4648699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36649 + ... + 36919.

Almost surely, 2^9968464 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 9968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11214560).

9968464 is an abundant number, since it is smaller than the sum of its proper divisors (12460656).

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

9968464 is a wasteful number, since it uses less digits than its factorization.

9968464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 9968464 is about 3157.2874433602. The cubic root of 9968464 is about 215.2167563409.

The spelling of 9968464 in words is "nine million, nine hundred sixty-eight thousand, four hundred sixty-four".