11581920 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 2640384.

The previous prime is 11581907. The next prime is 11581937. The reversal of 11581920 is 2918511.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30049 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^11581920 is an apocalyptic number.

11581920 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 11581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

11581920 is an abundant number, since it is smaller than the sum of its proper divisors (34866720).

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

11581920 is a wasteful number, since it uses less digits than its factorization.

11581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11581920 is about 3403.2220027497. Note that the first 3 decimals coincide. The cubic root of 11581920 is about 226.2525695912.

The spelling of 11581920 in words is "eleven million, five hundred eighty-one thousand, nine hundred twenty".