11568160 has 48 divisors (see below), whose sum is σ = 28944216. Its totient is φ = 4354048.

The previous prime is 11568097. The next prime is 11568173. The reversal of 11568160 is 6186511.

It can be written as a sum of positive squares in 4 ways, for example, as 8456464 + 3111696 = 2908^2 + 1764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594 + ... + 4846.

Almost surely, 2^11568160 is an apocalyptic number.

11568160 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 11568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472108).

11568160 is an abundant number, since it is smaller than the sum of its proper divisors (17376056).

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

11568160 is a wasteful number, since it uses less digits than its factorization.

11568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11568160 is about 3401.1997883100. The cubic root of 11568160 is about 226.1629336450.

It can be divided in two parts, 1156 and 8160, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 11568160 in words is "eleven million, five hundred sixty-eight thousand, one hundred sixty".