11406336 has 88 divisors (see below), whose sum is σ = 31441920. Its totient is φ = 3674112.

The previous prime is 11406331. The next prime is 11406341. The reversal of 11406336 is 63360411.

It is an interprime number because it is at equal distance from previous prime (11406331) and next prime (11406341).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11406331) 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 7 ways as a sum of consecutive naturals, for example, 144345 + ... + 144423.

Almost surely, 2^11406336 is an apocalyptic number.

11406336 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 11406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720960).

11406336 is an abundant number, since it is smaller than the sum of its proper divisors (20035584).

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

11406336 is an equidigital number, since it uses as much as digits as its factorization.

11406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 11406336 is about 3377.3267535138. The cubic root of 11406336 is about 225.1033993888.

Adding to 11406336 its reverse (63360411), we get a palindrome (74766747).

The spelling of 11406336 in words is "eleven million, four hundred six thousand, three hundred thirty-six".