11406384 has 120 divisors (see below), whose sum is σ = 36753600. Its totient is φ = 3265920.

The previous prime is 11406359. The next prime is 11406391. The reversal of 11406384 is 48360411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29907 + ... + 30285.

It is an arithmetic number, because the mean of its divisors is an integer number (306280).

Almost surely, 2^11406384 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 11406384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376800).

11406384 is an abundant number, since it is smaller than the sum of its proper divisors (25347216).

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

11406384 is a wasteful number, since it uses less digits than its factorization.

11406384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11406384 is about 3377.3338597183. Note that the first 3 decimals coincide. The cubic root of 11406384 is about 225.1037151475.

Adding to 11406384 its reverse (48360411), we get a palindrome (59766795).

The spelling of 11406384 in words is "eleven million, four hundred six thousand, three hundred eighty-four".