188668032 has 192 divisors, whose sum is σ = 600935040. Its totient is φ = 52254720.

The previous prime is 188668027. The next prime is 188668033. The reversal of 188668032 is 230866881.

188668032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (188668033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696057 + ... + 696327.

It is an arithmetic number, because the mean of its divisors is an integer number (3129870).

Almost surely, 2^188668032 is an apocalyptic number.

188668032 is a gapful number since it is divisible by the number (12) 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 188668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300467520).

188668032 is an abundant number, since it is smaller than the sum of its proper divisors (412267008).

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

188668032 is a wasteful number, since it uses less digits than its factorization.

188668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 188668032 is about 13735.6482191413. The cubic root of 188668032 is about 573.5431621854.

The spelling of 188668032 in words is "one hundred eighty-eight million, six hundred sixty-eight thousand, thirty-two".