11404120 has 96 divisors (see below), whose sum is σ = 31885920. Its totient is φ = 3594240.

The previous prime is 11404111. The next prime is 11404121. The reversal of 11404120 is 2140411.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11404120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404121) 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, 47200 + ... + 47440.

It is an arithmetic number, because the mean of its divisors is an integer number (332145).

Almost surely, 2^11404120 is an apocalyptic number.

11404120 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 11404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942960).

11404120 is an abundant number, since it is smaller than the sum of its proper divisors (20481800).

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

11404120 is a wasteful number, since it uses less digits than its factorization.

11404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11404120 is about 3376.9986674561. The cubic root of 11404120 is about 225.0888208996.

Adding to 11404120 its reverse (2140411), we get a palindrome (13544531).

The spelling of 11404120 in words is "eleven million, four hundred four thousand, one hundred twenty".