11689360 has 20 divisors (see below), whose sum is σ = 27177948. Its totient is φ = 4675712.

The previous prime is 11689357. The next prime is 11689409. The reversal of 11689360 is 6398611.

It can be written as a sum of positive squares in 2 ways, for example, as 7160976 + 4528384 = 2676^2 + 2128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11689360² = 273282274419200, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 72979 + ... + 73138.

Almost surely, 2^11689360 is an apocalyptic number.

11689360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11689360 is an abundant number, since it is smaller than the sum of its proper divisors (15488588).

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

11689360 is a wasteful number, since it uses less digits than its factorization.

11689360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146130 (or 146124 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 11689360 is about 3418.9706053138. The cubic root of 11689360 is about 226.9500300780.

The spelling of 11689360 in words is "eleven million, six hundred eighty-nine thousand, three hundred sixty".