11518080 has 128 divisors (see below), whose sum is σ = 42007680. Its totient is φ = 2629632.

The previous prime is 11518079. The next prime is 11518093. The reversal of 11518080 is 8081511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11518080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13012 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (328185).

Almost surely, 2^11518080 is an apocalyptic number.

11518080 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 11518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840).

11518080 is an abundant number, since it is smaller than the sum of its proper divisors (30489600).

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

11518080 is an equidigital number, since it uses as much as digits as its factorization.

11518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 11518080 is about 3393.8296951969. The cubic root of 11518080 is about 225.8360990873.

Adding to 11518080 its reverse (8081511), we get a palindrome (19599591).

The spelling of 11518080 in words is "eleven million, five hundred eighteen thousand, eighty".