11627112 has 48 divisors (see below), whose sum is σ = 33816960. Its totient is φ = 3321696.

The previous prime is 11627101. The next prime is 11627117. The reversal of 11627112 is 21172611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11627117) 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, 3768 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (704520).

Almost surely, 2^11627112 is an apocalyptic number.

11627112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11627112 is an abundant number, since it is smaller than the sum of its proper divisors (22189848).

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

11627112 is a wasteful number, since it uses less digits than its factorization.

11627112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9899 counting only the distinct ones).

The product of its digits is 168, while the sum is 21.

The square root of 11627112 is about 3409.8551288874. The cubic root of 11627112 is about 226.5464626016.

Adding to 11627112 its reverse (21172611), we get a palindrome (32799723).

The spelling of 11627112 in words is "eleven million, six hundred twenty-seven thousand, one hundred twelve".