11338416 has 60 divisors (see below), whose sum is σ = 32207760. Its totient is φ = 3722880.

The previous prime is 11338403. The next prime is 11338417. The reversal of 11338416 is 61483311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11338416.

It is not an unprimeable number, because it can be changed into a prime (11338417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9670 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (536796).

Almost surely, 2^11338416 is an apocalyptic number.

11338416 is a gapful number since it is divisible by the number (16) 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 11338416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103880).

11338416 is an abundant number, since it is smaller than the sum of its proper divisors (20869344).

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

11338416 is a wasteful number, since it uses less digits than its factorization.

11338416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1185 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11338416 is about 3367.2564499901. The cubic root of 11338416 is about 224.6557104823.

The spelling of 11338416 in words is "eleven million, three hundred thirty-eight thousand, four hundred sixteen".