9887792 has 40 divisors (see below), whose sum is σ = 20269536. Its totient is φ = 4663296.

The previous prime is 9887783. The next prime is 9887797. The reversal of 9887792 is 2977889.

It is a happy number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 9887792.

It is not an unprimeable number, because it can be changed into a prime (9887797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35558 + ... + 35834.

Almost surely, 2^9887792 is an apocalyptic number.

9887792 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 9887792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134768).

9887792 is an abundant number, since it is smaller than the sum of its proper divisors (10381744).

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

9887792 is a wasteful number, since it uses less digits than its factorization.

9887792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 508032, while the sum is 50.

The square root of 9887792 is about 3144.4859675311. The cubic root of 9887792 is about 214.6346200806.

Subtracting from 9887792 its reverse (2977889), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 9887792 in words is "nine million, eight hundred eighty-seven thousand, seven hundred ninety-two".