11689160 has 64 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 3960576.

The previous prime is 11689159. The next prime is 11689169. The reversal of 11689160 is 6198611.

11689160 = T₁₈₂₄ + T₁₈₂₅ + ... + T₁₈₃₀.

It is not an unprimeable number, because it can be changed into a prime (11689169) 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 15 ways as a sum of consecutive naturals, for example, 30329 + ... + 30711.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 2^11689160 is an apocalyptic number.

11689160 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 11689160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

11689160 is an abundant number, since it is smaller than the sum of its proper divisors (18723640).

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

11689160 is a wasteful number, since it uses less digits than its factorization.

11689160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 11689160 is about 3418.9413566190. The cubic root of 11689160 is about 226.9487357310.

The spelling of 11689160 in words is "eleven million, six hundred eighty-nine thousand, one hundred sixty".