9981936 has 60 divisors (see below), whose sum is σ = 28248688. Its totient is φ = 3290112.

The previous prime is 9981929. The next prime is 9981943. The reversal of 9981936 is 6391899.

9981936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9981929) and next prime (9981943).

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

It is a junction number, because it is equal to n+sod(n) for n = 9981891 and 9981900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14496 + ... + 15168.

Almost surely, 2^9981936 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 9981936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124344).

9981936 is an abundant number, since it is smaller than the sum of its proper divisors (18266752).

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

9981936 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9981935) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (790).

9981936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 781 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 9981936 is about 3159.4201999734. The cubic root of 9981936 is about 215.3136651184.

The spelling of 9981936 in words is "nine million, nine hundred eighty-one thousand, nine hundred thirty-six".