9737968 has 40 divisors (see below), whose sum is σ = 20177280. Its totient is φ = 4542720.

The previous prime is 9737953. The next prime is 9737971. The reversal of 9737968 is 8697379.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14046 + ... + 14722.

It is an arithmetic number, because the mean of its divisors is an integer number (504432).

Almost surely, 2^9737968 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 9737968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088640).

9737968 is an abundant number, since it is smaller than the sum of its proper divisors (10439312).

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

9737968 is a wasteful number, since it uses less digits than its factorization.

9737968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its digits is 571536, while the sum is 49.

The square root of 9737968 is about 3120.5717424857. The cubic root of 9737968 is about 213.5450199127.

The spelling of 9737968 in words is "nine million, seven hundred thirty-seven thousand, nine hundred sixty-eight".