9969792 has 64 divisors (see below), whose sum is σ = 30273600. Its totient is φ = 2847744.

The previous prime is 9969731. The next prime is 9969793. The reversal of 9969792 is 2979699.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9969793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 4542.

It is an arithmetic number, because the mean of its divisors is an integer number (473025).

Almost surely, 2^9969792 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 9969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136800).

9969792 is an abundant number, since it is smaller than the sum of its proper divisors (20303808).

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

9969792 is a wasteful number, since it uses less digits than its factorization.

9969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3721 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 9969792 is about 3157.4977434671. The cubic root of 9969792 is about 215.2263129842.

The spelling of 9969792 in words is "nine million, nine hundred sixty-nine thousand, seven hundred ninety-two".