11132880 has 80 divisors (see below), whose sum is σ = 37658304. Its totient is φ = 2698240.

The previous prime is 11132861. The next prime is 11132903. The reversal of 11132880 is 8823111.

It is a tau number, because it is divible by the number of its divisors (80).

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 11132880.

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, 532 + ... + 4748.

Almost surely, 2^11132880 is an apocalyptic number.

11132880 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 11132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829152).

11132880 is an abundant number, since it is smaller than the sum of its proper divisors (26525424).

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

11132880 is a wasteful number, since it uses less digits than its factorization.

11132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11132880 is about 3336.5970688712. The cubic root of 11132880 is about 223.2899497424.

Adding to 11132880 its reverse (8823111), we get a palindrome (19955991).

It can be divided in two parts, 1113 and 2880, that added together give a palindrome (3993).

The spelling of 11132880 in words is "eleven million, one hundred thirty-two thousand, eight hundred eighty".