11041632 has 72 divisors (see below), whose sum is σ = 35891856. Its totient is φ = 3154176.

The previous prime is 11041631. The next prime is 11041661. The reversal of 11041632 is 23614011.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041631) 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 11 ways as a sum of consecutive naturals, for example, 723 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (498498).

Almost surely, 2^11041632 is an apocalyptic number.

11041632 is a gapful number since it is divisible by the number (12) 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 11041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17945928).

11041632 is an abundant number, since it is smaller than the sum of its proper divisors (24850224).

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

11041632 is a wasteful number, since it uses less digits than its factorization.

11041632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11041632 is about 3322.8951232321. The cubic root of 11041632 is about 222.6782277733.

Adding to 11041632 its reverse (23614011), we get a palindrome (34655643).

The spelling of 11041632 in words is "eleven million, forty-one thousand, six hundred thirty-two".