11820424 has 64 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 4449600.

The previous prime is 11820407. The next prime is 11820433. The reversal of 11820424 is 42402811.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11820395 and 11820404.

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, 18787 + ... + 19405.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^11820424 is an apocalyptic number.

11820424 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 11820424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

11820424 is an abundant number, since it is smaller than the sum of its proper divisors (16749176).

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

11820424 is a wasteful number, since it uses less digits than its factorization.

11820424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 11820424 is about 3438.0843503323. The cubic root of 11820424 is about 227.7950862296.

The spelling of 11820424 in words is "eleven million, eight hundred twenty thousand, four hundred twenty-four".