11531168 has 96 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 4710400.

The previous prime is 11531167. The next prime is 11531173. The reversal of 11531168 is 86113511.

It is not an unprimeable number, because it can be changed into a prime (11531167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245321 + ... + 245367.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 2^11531168 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 11531168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

11531168 is an abundant number, since it is smaller than the sum of its proper divisors (15902560).

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

11531168 is a wasteful number, since it uses less digits than its factorization.

11531168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 720, while the sum is 26.

The square root of 11531168 is about 3395.7573529332. The cubic root of 11531168 is about 225.9216059320.

Adding to 11531168 its reverse (86113511), we get a palindrome (97644679).

The spelling of 11531168 in words is "eleven million, five hundred thirty-one thousand, one hundred sixty-eight".