9985792 has 36 divisors (see below), whose sum is σ = 20991880. Its totient is φ = 4727808.

The previous prime is 9985771. The next prime is 9985799. The reversal of 9985792 is 2975899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3838 + ... + 5890.

Almost surely, 2^9985792 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 9985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495940).

9985792 is an abundant number, since it is smaller than the sum of its proper divisors (11006088).

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

9985792 is a wasteful number, since it uses less digits than its factorization.

9985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2074 counting only the distinct ones).

The product of its digits is 408240, while the sum is 49.

The square root of 9985792 is about 3160.0303796008. The cubic root of 9985792 is about 215.3413866148.

The spelling of 9985792 in words is "nine million, nine hundred eighty-five thousand, seven hundred ninety-two".