11563248 has 80 divisors (see below), whose sum is σ = 32537600. Its totient is φ = 3525120.

The previous prime is 11563243. The next prime is 11563249. The reversal of 11563248 is 84236511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28068 + ... + 28476.

It is an arithmetic number, because the mean of its divisors is an integer number (406720).

Almost surely, 2^11563248 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 11563248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268800).

11563248 is an abundant number, since it is smaller than the sum of its proper divisors (20974352).

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

11563248 is a wasteful number, since it uses less digits than its factorization.

11563248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 11563248 is about 3400.4776135125. The cubic root of 11563248 is about 226.1309184814.

Adding to 11563248 its reverse (84236511), we get a palindrome (95799759).

It can be divided in two parts, 11563 and 248, that added together give a palindrome (11811).

The spelling of 11563248 in words is "eleven million, five hundred sixty-three thousand, two hundred forty-eight".