11149824 has 160 divisors (see below), whose sum is σ = 36533376. Its totient is φ = 2949120.

The previous prime is 11149813. The next prime is 11149829. The reversal of 11149824 is 42894111.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11149791 and 11149800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182754 + ... + 182814.

Almost surely, 2^11149824 is an apocalyptic number.

11149824 is a gapful number since it is divisible by the number (14) 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 11149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688).

11149824 is an abundant number, since it is smaller than the sum of its proper divisors (25383552).

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

11149824 is an equidigital number, since it uses as much as digits as its factorization.

11149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11149824 is about 3339.1352173879. The cubic root of 11149824 is about 223.4031731282.

The spelling of 11149824 in words is "eleven million, one hundred forty-nine thousand, eight hundred twenty-four".