9968742 has 48 divisors (see below), whose sum is σ = 25108512. Its totient is φ = 2799360.

The previous prime is 9968741. The next prime is 9968767. The reversal of 9968742 is 2478699.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7038 + ... + 8334.

It is an arithmetic number, because the mean of its divisors is an integer number (523094).

Almost surely, 2^9968742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9968742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554256).

9968742 is an abundant number, since it is smaller than the sum of its proper divisors (15139770).

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

9968742 is a wasteful number, since it uses less digits than its factorization.

9968742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1370 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9968742 is about 3157.3314681864. The cubic root of 9968742 is about 215.2187569735.

The spelling of 9968742 in words is "nine million, nine hundred sixty-eight thousand, seven hundred forty-two".