9986592 has 144 divisors (see below), whose sum is σ = 33439392. Its totient is φ = 2580480.

The previous prime is 9986591. The next prime is 9986593. The reversal of 9986592 is 2956899.

It is an interprime number because it is at equal distance from previous prime (9986591) and next prime (9986593).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (349920) is a multiple of the sum of its prime divisors (216).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9986591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51648 + ... + 51840.

It is an arithmetic number, because the mean of its divisors is an integer number (232218).

Almost surely, 2^9986592 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 9986592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719696).

9986592 is an abundant number, since it is smaller than the sum of its proper divisors (23452800).

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

9986592 is a wasteful number, since it uses less digits than its factorization.

9986592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 9986592 is about 3160.1569581272. The cubic root of 9986592 is about 215.3471370687.

The spelling of 9986592 in words is "nine million, nine hundred eighty-six thousand, five hundred ninety-two".