11271936 has 72 divisors (see below), whose sum is σ = 32336080. Its totient is φ = 3465216.

The previous prime is 11271929. The next prime is 11271937. The reversal of 11271936 is 63917211.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9420 + ... + 10548.

Almost surely, 2^11271936 is an apocalyptic number.

11271936 is a gapful number since it is divisible by the number (16) 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 11271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168040).

11271936 is an abundant number, since it is smaller than the sum of its proper divisors (21064144).

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

11271936 is a wasteful number, since it uses less digits than its factorization.

11271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 11271936 is about 3357.3703995836. The cubic root of 11271936 is about 224.2157784691.

The spelling of 11271936 in words is "eleven million, two hundred seventy-one thousand, nine hundred thirty-six".