11226824 has 32 divisors (see below), whose sum is σ = 24165120. Its totient is φ = 4790016.

The previous prime is 11226821. The next prime is 11226841. The reversal of 11226824 is 42862211.

It is a happy number.

11226824 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11226824 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11226793 and 11226802.

It is not an unprimeable number, because it can be changed into a prime (11226821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24017 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (755160).

Almost surely, 2^11226824 is an apocalyptic number.

11226824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11226824 is an abundant number, since it is smaller than the sum of its proper divisors (12938296).

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

11226824 is a wasteful number, since it uses less digits than its factorization.

11226824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 11226824 is about 3350.6453109812. The cubic root of 11226824 is about 223.9162633440.

The spelling of 11226824 in words is "eleven million, two hundred twenty-six thousand, eight hundred twenty-four".