11117580 has 48 divisors (see below), whose sum is σ = 31395840. Its totient is φ = 2939328.

The previous prime is 11117569. The next prime is 11117593. The reversal of 11117580 is 8571111.

It is a self number, because there is not a number n which added to its sum of digits gives 11117580.

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, 6891 + ... + 8349.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 2^11117580 is an apocalyptic number.

11117580 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 11117580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697920).

11117580 is an abundant number, since it is smaller than the sum of its proper divisors (20278260).

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

11117580 is a wasteful number, since it uses less digits than its factorization.

11117580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 24.

The square root of 11117580 is about 3334.3035254757. The cubic root of 11117580 is about 223.1876131665.

Adding to 11117580 its reverse (8571111), we get a palindrome (19688691).

The spelling of 11117580 in words is "eleven million, one hundred seventeen thousand, five hundred eighty".