11248 has 20 divisors (see below), whose sum is σ = 23560. Its totient is φ = 5184.

The previous prime is 11243. The next prime is 11251. The reversal of 11248 is 84211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64) is a multiple of the sum of its prime factors (64).

It is a plaindrome in base 10.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243) by changing a digit.

11248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (1178).

2¹¹²⁴⁸ 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 11248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780).

11248 is an abundant number, since it is smaller than the sum of its proper divisors (12312).

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

11248 is a wasteful number, since it uses less digits than its factorization.

11248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 11248 is about 106.0565886685. The cubic root of 11248 is about 22.4056958305.

11248 divided by its sum of digits (16) gives a triangular number (703 = T₃₇).

Adding to 11248 its reverse (84211), we get a palindrome (95459).

The spelling of 11248 in words is "eleven thousand, two hundred forty-eight".