11441920 has 72 divisors (see below), whose sum is σ = 31346784. Its totient is φ = 3919872.

The previous prime is 11441893. The next prime is 11441939. The reversal of 11441920 is 2914411.

It is a junction number, because it is equal to n+sod(n) for n = 11441891 and 11441900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8322 + ... + 9598.

It is an arithmetic number, because the mean of its divisors is an integer number (435372).

Almost surely, 2^11441920 is an apocalyptic number.

11441920 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 11441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673392).

11441920 is an abundant number, since it is smaller than the sum of its proper divisors (19904864).

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

11441920 is an equidigital number, since it uses as much as digits as its factorization.

11441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11441920 is about 3382.5907230997. The cubic root of 11441920 is about 225.3372391357.

The spelling of 11441920 in words is "eleven million, four hundred forty-one thousand, nine hundred twenty".