9987936 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2804736.

The previous prime is 9987931. The next prime is 9987937. The reversal of 9987936 is 6397899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59725 + ... + 59891.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^9987936 is an apocalyptic number.

9987936 is a gapful number since it is divisible by the number (96) 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 9987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

9987936 is an abundant number, since it is smaller than the sum of its proper divisors (20493984).

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

9987936 is a wasteful number, since it uses less digits than its factorization.

9987936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 9987936 is about 3160.3695986387. The cubic root of 9987936 is about 215.3567971399.

The spelling of 9987936 in words is "nine million, nine hundred eighty-seven thousand, nine hundred thirty-six".