11531160 has 80 divisors (see below), whose sum is σ = 38768400. Its totient is φ = 3074112.

The previous prime is 11531147. The next prime is 11531167. The reversal of 11531160 is 6113511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1461 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (484605).

Almost surely, 2^11531160 is an apocalyptic number.

11531160 is a gapful number since it is divisible by the number (10) 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 11531160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384200).

11531160 is an abundant number, since it is smaller than the sum of its proper divisors (27237240).

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

11531160 is a wasteful number, since it uses less digits than its factorization.

11531160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11531160 is about 3395.7561749925. The cubic root of 11531160 is about 225.9215536859.

Adding to 11531160 its reverse (6113511), we get a palindrome (17644671).

The spelling of 11531160 in words is "eleven million, five hundred thirty-one thousand, one hundred sixty".