11213568 has 108 divisors (see below), whose sum is σ = 33587008. Its totient is φ = 3594240.

The previous prime is 11213567. The next prime is 11213597. The reversal of 11213568 is 86531211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71346 + ... + 71502.

Almost surely, 2^11213568 is an apocalyptic number.

11213568 is a gapful number since it is divisible by the number (18) 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 11213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793504).

11213568 is an abundant number, since it is smaller than the sum of its proper divisors (22373440).

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

11213568 is a wasteful number, since it uses less digits than its factorization.

11213568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11213568 is about 3348.6666003053. Note that the first 4 decimals coincide. The cubic root of 11213568 is about 223.8280994075.

Adding to 11213568 its reverse (86531211), we get a palindrome (97744779).

It can be divided in two parts, 11213 and 568, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11213568 in words is "eleven million, two hundred thirteen thousand, five hundred sixty-eight".