11544768 has 140 divisors (see below), whose sum is σ = 36511992. Its totient is φ = 3594240.

The previous prime is 11544763. The next prime is 11544779. The reversal of 11544768 is 86744511.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11544763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88063 + ... + 88193.

Almost surely, 2^11544768 is an apocalyptic number.

11544768 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 11544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255996).

11544768 is an abundant number, since it is smaller than the sum of its proper divisors (24967224).

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

11544768 is a wasteful number, since it uses less digits than its factorization.

11544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 11544768 is about 3397.7592616311. The cubic root of 11544768 is about 226.0103892684.

The spelling of 11544768 in words is "eleven million, five hundred forty-four thousand, seven hundred sixty-eight".