11404320 has 96 divisors (see below), whose sum is σ = 37521792. Its totient is φ = 2906112.

The previous prime is 11404319. The next prime is 11404321. The reversal of 11404320 is 2340411.

It is an interprime number because it is at equal distance from previous prime (11404319) and next prime (11404321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11404320.

It is not an unprimeable number, because it can be changed into a prime (11404321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10524 + ... + 11556.

It is an arithmetic number, because the mean of its divisors is an integer number (390852).

Almost surely, 2^11404320 is an apocalyptic number.

11404320 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 11404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760896).

11404320 is an abundant number, since it is smaller than the sum of its proper divisors (26117472).

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

11404320 is a wasteful number, since it uses less digits than its factorization.

11404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11404320 is about 3377.0282794196. The cubic root of 11404320 is about 225.0901367252.

Adding to 11404320 its reverse (2340411), we get a palindrome (13744731).

It can be divided in two parts, 1140 and 4320, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 11404320 in words is "eleven million, four hundred four thousand, three hundred twenty".