11331936 has 216 divisors, whose sum is σ = 41454504. Its totient is φ = 2903040.

The previous prime is 11331917. The next prime is 11331937. The reversal of 11331936 is 63913311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331937) 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 35 ways as a sum of consecutive naturals, for example, 155196 + ... + 155268.

It is an arithmetic number, because the mean of its divisors is an integer number (191919).

Almost surely, 2^11331936 is an apocalyptic number.

11331936 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 11331936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727252).

11331936 is an abundant number, since it is smaller than the sum of its proper divisors (30122568).

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

11331936 is a wasteful number, since it uses less digits than its factorization.

11331936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 11331936 is about 3366.2941047983. The cubic root of 11331936 is about 224.6129047847.

The spelling of 11331936 in words is "eleven million, three hundred thirty-one thousand, nine hundred thirty-six".