11186080 has 48 divisors (see below), whose sum is σ = 26659584. Its totient is φ = 4435200.

The previous prime is 11186069. The next prime is 11186107. The reversal of 11186080 is 8068111.

It is a happy number.

11186080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23929 + ... + 24391.

It is an arithmetic number, because the mean of its divisors is an integer number (555408).

Almost surely, 2^11186080 is an apocalyptic number.

11186080 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 11186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329792).

11186080 is an abundant number, since it is smaller than the sum of its proper divisors (15473504).

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

11186080 is a wasteful number, since it uses less digits than its factorization.

11186080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 11186080 is about 3344.5597617624. The cubic root of 11186080 is about 223.6450586195.

The spelling of 11186080 in words is "eleven million, one hundred eighty-six thousand, eighty".