9891136 has 28 divisors (see below), whose sum is σ = 20163028. Its totient is φ = 4810752.

The previous prime is 9891131. The next prime is 9891137. The reversal of 9891136 is 6311989.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 891136 = 3000^2 + 944^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 9891095 and 9891104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9891131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280 + ... + 4456.

Almost surely, 2^9891136 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 9891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081514).

9891136 is an abundant number, since it is smaller than the sum of its proper divisors (10271892).

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

9891136 is a wasteful number, since it uses less digits than its factorization.

9891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4216 counting only the distinct ones).

The product of its digits is 11664, while the sum is 37.

The square root of 9891136 is about 3145.0176470093. The cubic root of 9891136 is about 214.6588134587.

It can be divided in two parts, 9 and 891136, that multiplied together give a square (8020224 = 2832²).

The spelling of 9891136 in words is "nine million, eight hundred ninety-one thousand, one hundred thirty-six".