11985248 has 48 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 5366400.

The previous prime is 11985247. The next prime is 11985263. The reversal of 11985248 is 84258911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11985247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27593 + ... + 28023.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^11985248 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 11985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

11985248 is an abundant number, since it is smaller than the sum of its proper divisors (14142112).

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

11985248 is a wasteful number, since it uses less digits than its factorization.

11985248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its digits is 23040, while the sum is 38.

The square root of 11985248 is about 3461.9716925475. The cubic root of 11985248 is about 228.8489943491.

It can be divided in two parts, 1198 and 5248, that added together give a palindrome (6446).

The spelling of 11985248 in words is "eleven million, nine hundred eighty-five thousand, two hundred forty-eight".