11119248 has 80 divisors (see below), whose sum is σ = 36485760. Its totient is φ = 3176064.

The previous prime is 11119243. The next prime is 11119249. The reversal of 11119248 is 84291111.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (11119243) 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, 1186 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (456072).

Almost surely, 2^11119248 is an apocalyptic number.

11119248 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 11119248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242880).

11119248 is an abundant number, since it is smaller than the sum of its proper divisors (25366512).

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

11119248 is a wasteful number, since it uses less digits than its factorization.

11119248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3689 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11119248 is about 3334.5536432932. The cubic root of 11119248 is about 223.1987744181.

The spelling of 11119248 in words is "eleven million, one hundred nineteen thousand, two hundred forty-eight".