11826720 has 144 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3064320.

The previous prime is 11826719. The next prime is 11826733. The reversal of 11826720 is 2762811.

It is a Cunningham number, because it is equal to 3439²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61825 + ... + 62015.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^11826720 is an apocalyptic number.

11826720 is a gapful number since it is divisible by the number (10) 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 11826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

11826720 is an abundant number, since it is smaller than the sum of its proper divisors (29686752).

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

11826720 is a wasteful number, since it uses less digits than its factorization.

11826720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11826720 is about 3438.9998546089. Note that the first 3 decimals coincide. The cubic root of 11826720 is about 227.8355231125.

The spelling of 11826720 in words is "eleven million, eight hundred twenty-six thousand, seven hundred twenty".