11538380 has 48 divisors (see below), whose sum is σ = 28096320. Its totient is φ = 3898368.

The previous prime is 11538379. The next prime is 11538383. The reversal of 11538380 is 8383511.

It is not an unprimeable number, because it can be changed into a prime (11538383) 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, 9656 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (585340).

Almost surely, 2^11538380 is an apocalyptic number.

11538380 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 11538380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048160).

11538380 is an abundant number, since it is smaller than the sum of its proper divisors (16557940).

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

11538380 is a wasteful number, since it uses less digits than its factorization.

11538380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 11538380 is about 3396.8191002760. The cubic root of 11538380 is about 225.9686959017.

The spelling of 11538380 in words is "eleven million, five hundred thirty-eight thousand, three hundred eighty".