11568416 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 5361408.

The previous prime is 11568413. The next prime is 11568433. The reversal of 11568416 is 61486511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11568413) 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, 32045 + ... + 32403.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^11568416 is an apocalyptic number.

11568416 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 11568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

11568416 is an abundant number, since it is smaller than the sum of its proper divisors (12925984).

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

11568416 is a wasteful number, since it uses less digits than its factorization.

11568416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 11568416 is about 3401.2374218805. The cubic root of 11568416 is about 226.1646019392.

The spelling of 11568416 in words is "eleven million, five hundred sixty-eight thousand, four hundred sixteen".