11508768 has 72 divisors (see below), whose sum is σ = 33169500. Its totient is φ = 3784704.

The previous prime is 11508751. The next prime is 11508769. The reversal of 11508768 is 86780511.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 138384 = 3372^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (11508769) 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 11 ways as a sum of consecutive naturals, for example, 25408 + ... + 25856.

Almost surely, 2^11508768 is an apocalyptic number.

11508768 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 11508768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584750).

11508768 is an abundant number, since it is smaller than the sum of its proper divisors (21660732).

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

11508768 is a wasteful number, since it uses less digits than its factorization.

11508768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 11508768 is about 3392.4575163147. The cubic root of 11508768 is about 225.7752222530.

The spelling of 11508768 in words is "eleven million, five hundred eight thousand, seven hundred sixty-eight".