11381520 has 80 divisors (see below), whose sum is σ = 36069120. Its totient is φ = 2967552.

The previous prime is 11381507. The next prime is 11381521. The reversal of 11381520 is 2518311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11381521) by changing a digit.

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, 10776 + ... + 11784.

It is an arithmetic number, because the mean of its divisors is an integer number (450864).

Almost surely, 2^11381520 is an apocalyptic number.

11381520 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 11381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034560).

11381520 is an abundant number, since it is smaller than the sum of its proper divisors (24687600).

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

11381520 is a wasteful number, since it uses less digits than its factorization.

11381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11381520 is about 3373.6508414476. The cubic root of 11381520 is about 224.9400334019.

Adding to 11381520 its reverse (2518311), we get a palindrome (13899831).

The spelling of 11381520 in words is "eleven million, three hundred eighty-one thousand, five hundred twenty".