11845224 has 128 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3628800.

The previous prime is 11845219. The next prime is 11845231. The reversal of 11845224 is 42254811.

It is a super-2 number, since 2×11845224² = 280618663220352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194154 + ... + 194214.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^11845224 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 11845224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

11845224 is an abundant number, since it is smaller than the sum of its proper divisors (23866776).

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

11845224 is a wasteful number, since it uses less digits than its factorization.

11845224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 11845224 is about 3441.6891201850. The cubic root of 11845224 is about 227.9542844631.

The spelling of 11845224 in words is "eleven million, eight hundred forty-five thousand, two hundred twenty-four".