11938224 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 3763200.

The previous prime is 11938207. The next prime is 11938253. The reversal of 11938224 is 42283911.

11938224 = T₃₃₇ + T₃₃₈ + ... + T₄₇₈.

It is a junction number, because it is equal to n+sod(n) for n = 11938191 and 11938200.

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 15 ways as a sum of consecutive naturals, for example, 105592 + ... + 105704.

Almost surely, 2^11938224 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 11938224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

11938224 is an abundant number, since it is smaller than the sum of its proper divisors (20631120).

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

11938224 is a wasteful number, since it uses less digits than its factorization.

11938224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11938224 is about 3455.1735122856. The cubic root of 11938224 is about 228.5493064900.

The spelling of 11938224 in words is "eleven million, nine hundred thirty-eight thousand, two hundred twenty-four".