11688912 has 30 divisors (see below), whose sum is σ = 32713122. Its totient is φ = 3896256.

The previous prime is 11688907. The next prime is 11688913. The reversal of 11688912 is 21988611.

11688912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 2903616 = 2964^2 + 1704^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40443 + ... + 40730.

Almost surely, 2^11688912 is an apocalyptic number.

11688912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11688912 is an abundant number, since it is smaller than the sum of its proper divisors (21024210).

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

11688912 is a wasteful number, since it uses less digits than its factorization.

11688912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81187 (or 81178 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11688912 is about 3418.9050878900. The cubic root of 11688912 is about 226.9471307202.

The spelling of 11688912 in words is "eleven million, six hundred eighty-eight thousand, nine hundred twelve".