11220880 has 80 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 3968000.

The previous prime is 11220857. The next prime is 11220899. The reversal of 11220880 is 8802211.

11220880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (22).

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, 35925 + ... + 36235.

Almost surely, 2^11220880 is an apocalyptic number.

11220880 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 11220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

11220880 is an abundant number, since it is smaller than the sum of its proper divisors (18027248).

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

11220880 is a wasteful number, since it uses less digits than its factorization.

11220880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 11220880 is about 3349.7582002288. The cubic root of 11220880 is about 223.8767391583.

It can be divided in two parts, 11220 and 880, that added together give a square (12100 = 110²).

The spelling of 11220880 in words is "eleven million, two hundred twenty thousand, eight hundred eighty".