9487968 has 72 divisors (see below), whose sum is σ = 28986552. Its totient is φ = 2709504.

The previous prime is 9487963. The next prime is 9487991. The reversal of 9487968 is 8697849.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9487968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9487963) 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, 3696 + ... + 5712.

It is an arithmetic number, because the mean of its divisors is an integer number (402591).

Almost surely, 2^9487968 is an apocalyptic number.

9487968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493276).

9487968 is an abundant number, since it is smaller than the sum of its proper divisors (19498584).

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

9487968 is a wasteful number, since it uses less digits than its factorization.

9487968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2029 counting only the distinct ones).

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

The square root of 9487968 is about 3080.2545349370. The cubic root of 9487968 is about 211.7017284042.

The spelling of 9487968 in words is "nine million, four hundred eighty-seven thousand, nine hundred sixty-eight".