11911248 has 60 divisors (see below), whose sum is σ = 33592468. Its totient is φ = 3939840.

The previous prime is 11911241. The next prime is 11911253. The reversal of 11911248 is 84211911.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 7551504 = 2088^2 + 2748^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11911241) 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, 25836 + ... + 26292.

Almost surely, 2^11911248 is an apocalyptic number.

11911248 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 11911248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796234).

11911248 is an abundant number, since it is smaller than the sum of its proper divisors (21681220).

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

11911248 is a wasteful number, since it uses less digits than its factorization.

11911248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

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

The square root of 11911248 is about 3451.2675932185. The cubic root of 11911248 is about 228.3770308445.

The spelling of 11911248 in words is "eleven million, nine hundred eleven thousand, two hundred forty-eight".