11286880 has 96 divisors (see below), whose sum is σ = 29883168. Its totient is φ = 4026880.

The previous prime is 11286857. The next prime is 11286901. The reversal of 11286880 is 8868211.

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, 212934 + ... + 212986.

It is an arithmetic number, because the mean of its divisors is an integer number (311283).

Almost surely, 2^11286880 is an apocalyptic number.

11286880 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 11286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941584).

11286880 is an abundant number, since it is smaller than the sum of its proper divisors (18596288).

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

11286880 is an equidigital number, since it uses as much as digits as its factorization.

11286880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 11286880 is about 3359.5952137125. The cubic root of 11286880 is about 224.3148209329.

It can be divided in two parts, 1128 and 6880, that added together give a palindrome (8008).

The spelling of 11286880 in words is "eleven million, two hundred eighty-six thousand, eight hundred eighty".