9847968 has 72 divisors (see below), whose sum is σ = 28038528. Its totient is φ = 3025152.

The previous prime is 9847967. The next prime is 9847969. The reversal of 9847968 is 8697489.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9847967) and next prime (9847969).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 9847968.

It is not an unprimeable number, because it can be changed into a prime (9847963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15921 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (389424).

Almost surely, 2^9847968 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 9847968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019264).

9847968 is an abundant number, since it is smaller than the sum of its proper divisors (18190560).

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

9847968 is a wasteful number, since it uses less digits than its factorization.

9847968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 9847968 is about 3138.1472240798. The cubic root of 9847968 is about 214.3460787397.

The spelling of 9847968 in words is "nine million, eight hundred forty-seven thousand, nine hundred sixty-eight".