11404116 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3616704.

The previous prime is 11404111. The next prime is 11404121. The reversal of 11404116 is 61140411.

It is an interprime number because it is at equal distance from previous prime (11404111) and next prime (11404121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81975 + ... + 82113.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^11404116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

11404116 is an abundant number, since it is smaller than the sum of its proper divisors (18866124).

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

11404116 is a wasteful number, since it uses less digits than its factorization.

11404116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11404116 is about 3376.9980752141. The cubic root of 11404116 is about 225.0887945829.

Adding to 11404116 its reverse (61140411), we get a palindrome (72544527).

The spelling of 11404116 in words is "eleven million, four hundred four thousand, one hundred sixteen".