11689560 has 96 divisors (see below), whose sum is σ = 40014000. Its totient is φ = 2951424.

The previous prime is 11689553. The next prime is 11689571. The reversal of 11689560 is 6598611.

11689560 is a `hidden beast` number, since 1 + 16 + 89 + 560 = 666.

11689560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3419²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5986 + ... + 7694.

Almost surely, 2^11689560 is an apocalyptic number.

11689560 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 11689560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007000).

11689560 is an abundant number, since it is smaller than the sum of its proper divisors (28324440).

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

11689560 is a wasteful number, since it uses less digits than its factorization.

11689560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11689560 is about 3418.9998537584. Note that the first 3 decimals coincide. The cubic root of 11689560 is about 226.9513244103.

It can be divided in two parts, 116 and 89560, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 11689560 in words is "eleven million, six hundred eighty-nine thousand, five hundred sixty".