11238080 has 112 divisors (see below), whose sum is σ = 31821120. Its totient is φ = 3698688.

The previous prime is 11238079. The next prime is 11238083. The reversal of 11238080 is 8083211.

11238080 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 (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11238083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64874 + ... + 65046.

Almost surely, 2^11238080 is an apocalyptic number.

11238080 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 11238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910560).

11238080 is an abundant number, since it is smaller than the sum of its proper divisors (20583040).

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

11238080 is a wasteful number, since it uses less digits than its factorization.

11238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11238080 is about 3352.3245666254. The cubic root of 11238080 is about 223.9910710727.

The spelling of 11238080 in words is "eleven million, two hundred thirty-eight thousand, eighty".