11181240 has 320 divisors, whose sum is σ = 47044800. Its totient is φ = 2322432.

The previous prime is 11181133. The next prime is 11181241. The reversal of 11181240 is 4218111.

11181240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11181241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385546 + ... + 385574.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 2^11181240 is an apocalyptic number.

11181240 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 11181240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522400).

11181240 is an abundant number, since it is smaller than the sum of its proper divisors (35863560).

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

11181240 is a wasteful number, since it uses less digits than its factorization.

11181240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11181240 is about 3343.8361203863. The cubic root of 11181240 is about 223.6127983390.

Adding to 11181240 its reverse (4218111), we get a palindrome (15399351).

The spelling of 11181240 in words is "eleven million, one hundred eighty-one thousand, two hundred forty".