9891936 has 72 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 3266496.

The previous prime is 9891923. The next prime is 9891953. The reversal of 9891936 is 6391989.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 9891891 and 9891900.

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, 92395 + ... + 92501.

It is an arithmetic number, because the mean of its divisors is an integer number (404495).

Almost surely, 2^9891936 is an apocalyptic number.

9891936 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 9891936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561820).

9891936 is an abundant number, since it is smaller than the sum of its proper divisors (19231704).

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

9891936 is a wasteful number, since it uses less digits than its factorization.

9891936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 112 counting only the distinct ones).

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

The square root of 9891936 is about 3145.1448297336. The cubic root of 9891936 is about 214.6646005399.

The spelling of 9891936 in words is "nine million, eight hundred ninety-one thousand, nine hundred thirty-six".