11688120 has 48 divisors (see below), whose sum is σ = 37987560. Its totient is φ = 3116736.

The previous prime is 11688113. The next prime is 11688121. The reversal of 11688120 is 2188611.

It is a super-2 number, since 2×11688120² = 273224298268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688121) 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 11 ways as a sum of consecutive naturals, for example, 15874 + ... + 16593.

Almost surely, 2^11688120 is an apocalyptic number.

11688120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11688120 is an abundant number, since it is smaller than the sum of its proper divisors (26299440).

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

11688120 is a wasteful number, since it uses less digits than its factorization.

11688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32484 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11688120 is about 3418.7892593724. The cubic root of 11688120 is about 226.9420048885.

The spelling of 11688120 in words is "eleven million, six hundred eighty-eight thousand, one hundred twenty".