12083688 has 64 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 3931200.

The previous prime is 12083683. The next prime is 12083689. The reversal of 12083688 is 88638021.

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

It is not an unprimeable number, because it can be changed into a prime (12083681) 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, 8638 + ... + 9938.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 2^12083688 is an apocalyptic number.

12083688 is a gapful number since it is divisible by the number (18) 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 12083688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

12083688 is an abundant number, since it is smaller than the sum of its proper divisors (22289112).

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

12083688 is a wasteful number, since it uses less digits than its factorization.

12083688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12083688 is about 3476.1599502900. The cubic root of 12083688 is about 229.4738318662.

The spelling of 12083688 in words is "twelve million, eighty-three thousand, six hundred eighty-eight".