11512160 has 96 divisors (see below), whose sum is σ = 30772224. Its totient is φ = 4032000.

The previous prime is 11512147. The next prime is 11512177. The reversal of 11512160 is 6121511.

11512160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54455 + ... + 54665.

It is an arithmetic number, because the mean of its divisors is an integer number (320544).

Almost surely, 2^11512160 is an apocalyptic number.

11512160 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 11512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386112).

11512160 is an abundant number, since it is smaller than the sum of its proper divisors (19260064).

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

11512160 is a wasteful number, since it uses less digits than its factorization.

11512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 11512160 is about 3392.9574120522. The cubic root of 11512160 is about 225.7974011207.

Adding to 11512160 its reverse (6121511), we get a palindrome (17633671).

The spelling of 11512160 in words is "eleven million, five hundred twelve thousand, one hundred sixty".