11624112 has 60 divisors (see below), whose sum is σ = 32933160. Its totient is φ = 3826944.

The previous prime is 11624111. The next prime is 11624113. The reversal of 11624112 is 21142611.

11624112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11624111) and next prime (11624113).

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

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

It is not an unprimeable number, because it can be changed into a prime (11624111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12363 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (548886).

Almost surely, 2^11624112 is an apocalyptic number.

11624112 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 11624112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16466580).

11624112 is an abundant number, since it is smaller than the sum of its proper divisors (21309048).

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

11624112 is a wasteful number, since it uses less digits than its factorization.

11624112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11624112 is about 3409.4151991214. The cubic root of 11624112 is about 226.5269765977.

Adding to 11624112 its reverse (21142611), we get a palindrome (32766723).

The spelling of 11624112 in words is "eleven million, six hundred twenty-four thousand, one hundred twelve".