9988992 has 192 divisors, whose sum is σ = 33415200. Its totient is φ = 2838528.

The previous prime is 9988991. The next prime is 9989027. The reversal of 9988992 is 2998899.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9988992² = 199559922352128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9988991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344434 + ... + 344462.

Almost surely, 2^9988992 is an apocalyptic number.

9988992 is a gapful number since it is divisible by the number (92) 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 9988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

9988992 is an abundant number, since it is smaller than the sum of its proper divisors (23426208).

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

9988992 is a wasteful number, since it uses less digits than its factorization.

9988992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 9988992 is about 3160.5366632900. The cubic root of 9988992 is about 215.3643865879.

The spelling of 9988992 in words is "nine million, nine hundred eighty-eight thousand, nine hundred ninety-two".