9968240 has 40 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 3910400.

The previous prime is 9968219. The next prime is 9968243. The reversal of 9968240 is 428699.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 9968194 and 9968203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065 + ... + 5415.

Almost surely, 2^9968240 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 9968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

9968240 is an abundant number, since it is smaller than the sum of its proper divisors (13655248).

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

9968240 is a wasteful number, since it uses less digits than its factorization.

9968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 9968240 is about 3157.2519696724. The cubic root of 9968240 is about 215.2151442934.

The spelling of 9968240 in words is "nine million, nine hundred sixty-eight thousand, two hundred forty".