11150880 has 96 divisors (see below), whose sum is σ = 37848384. Its totient is φ = 2743296.

The previous prime is 11150873. The next prime is 11150903. The reversal of 11150880 is 8805111.

It is a tau number, because it is divible by the number of its divisors (96).

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 11150880.

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, 5347 + ... + 7133.

It is an arithmetic number, because the mean of its divisors is an integer number (394254).

Almost surely, 2^11150880 is an apocalyptic number.

11150880 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 11150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924192).

11150880 is an abundant number, since it is smaller than the sum of its proper divisors (26697504).

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

11150880 is a wasteful number, since it uses less digits than its factorization.

11150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1810 counting only the distinct ones).

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

The square root of 11150880 is about 3339.2933384176. The cubic root of 11150880 is about 223.4102257448.

Adding to 11150880 its reverse (8805111), we get a palindrome (19955991).

The spelling of 11150880 in words is "eleven million, one hundred fifty thousand, eight hundred eighty".