11590768 has 40 divisors (see below), whose sum is σ = 26368352. Its totient is φ = 4831488.

The previous prime is 11590763. The next prime is 11590769. The reversal of 11590768 is 86709511.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11590763) 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, 2746 + ... + 5542.

Almost surely, 2^11590768 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 11590768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184176).

11590768 is an abundant number, since it is smaller than the sum of its proper divisors (14777584).

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

11590768 is a wasteful number, since it uses less digits than its factorization.

11590768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 11590768 is about 3404.5216991525. The cubic root of 11590768 is about 226.3101700919.

The spelling of 11590768 in words is "eleven million, five hundred ninety thousand, seven hundred sixty-eight".