11264416 has 48 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 5253120.

The previous prime is 11264347. The next prime is 11264419. The reversal of 11264416 is 61446211.

It is not an unprimeable number, because it can be changed into a prime (11264419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58881 + ... + 59071.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 2^11264416 is an apocalyptic number.

11264416 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 11264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

11264416 is an abundant number, since it is smaller than the sum of its proper divisors (12443744).

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

11264416 is a wasteful number, since it uses less digits than its factorization.

11264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 11264416 is about 3356.2502886406. The cubic root of 11264416 is about 224.1659060026.

The spelling of 11264416 in words is "eleven million, two hundred sixty-four thousand, four hundred sixteen".