11749248 has 192 divisors, whose sum is σ = 40734720. Its totient is φ = 3179520.

The previous prime is 11749237. The next prime is 11749249. The reversal of 11749248 is 84294711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (11749249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249961 + ... + 250007.

It is an arithmetic number, because the mean of its divisors is an integer number (212160).

Almost surely, 2^11749248 is an apocalyptic number.

11749248 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 11749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360).

11749248 is an abundant number, since it is smaller than the sum of its proper divisors (28985472).

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

11749248 is a wasteful number, since it uses less digits than its factorization.

11749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11749248 is about 3427.7176079718. The cubic root of 11749248 is about 227.3369471270.

The spelling of 11749248 in words is "eleven million, seven hundred forty-nine thousand, two hundred forty-eight".