11217824 has 36 divisors (see below), whose sum is σ = 23479974. Its totient is φ = 5274624.

The previous prime is 11217799. The next prime is 11217853. The reversal of 11217824 is 42871211.

It can be written as a sum of positive squares in 3 ways, for example, as 9610000 + 1607824 = 3100^2 + 1268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11217793 and 11217802.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8642 + ... + 9854.

Almost surely, 2^11217824 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 11217824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739987).

11217824 is an abundant number, since it is smaller than the sum of its proper divisors (12262150).

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

11217824 is a wasteful number, since it uses less digits than its factorization.

11217824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1232 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 11217824 is about 3349.3020168387. The cubic root of 11217824 is about 223.8564130806.

The spelling of 11217824 in words is "eleven million, two hundred seventeen thousand, eight hundred twenty-four".