11626112 has 32 divisors (see below), whose sum is σ = 23556900. Its totient is φ = 5713920.

The previous prime is 11626093. The next prime is 11626117. The reversal of 11626112 is 21162611.

It can be written as a sum of positive squares in 2 ways, for example, as 9388096 + 2238016 = 3064^2 + 1496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11626117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7064 + ... + 8552.

Almost surely, 2^11626112 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 11626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778450).

11626112 is an abundant number, since it is smaller than the sum of its proper divisors (11930788).

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

11626112 is an equidigital number, since it uses as much as digits as its factorization.

11626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1552 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 11626112 is about 3409.7084919389. The cubic root of 11626112 is about 226.5399676395.

Adding to 11626112 its reverse (21162611), we get a palindrome (32788723).

The spelling of 11626112 in words is "eleven million, six hundred twenty-six thousand, one hundred twelve".