9968640 has 176 divisors, whose sum is σ = 35372160. Its totient is φ = 2375680.

The previous prime is 9968633. The next prime is 9968641. The reversal of 9968640 is 468699.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 9968592 and 9968601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168931 + ... + 168989.

Almost surely, 2^9968640 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 9968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

9968640 is an abundant number, since it is smaller than the sum of its proper divisors (25403520).

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

9968640 is a wasteful number, since it uses less digits than its factorization.

9968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9968640 is about 3157.3153152639. The cubic root of 9968640 is about 215.2180229328.

The spelling of 9968640 in words is "nine million, nine hundred sixty-eight thousand, six hundred forty".