11509380 has 72 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 2995776.

The previous prime is 11509373. The next prime is 11509387. The reversal of 11509380 is 8390511.

It is an interprime number because it is at equal distance from previous prime (11509373) and next prime (11509387).

It is not an unprimeable number, because it can be changed into a prime (11509387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6997 + ... + 8483.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 2^11509380 is an apocalyptic number.

11509380 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 11509380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

11509380 is an abundant number, since it is smaller than the sum of its proper divisors (24238332).

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

11509380 is a wasteful number, since it uses less digits than its factorization.

11509380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11509380 is about 3392.5477152135. The cubic root of 11509380 is about 225.7792241869.

Adding to 11509380 its reverse (8390511), we get a palindrome (19899891).

The spelling of 11509380 in words is "eleven million, five hundred nine thousand, three hundred eighty".