188768 has 24 divisors (see below), whose sum is σ = 394632. Its totient is φ = 88576.

The previous prime is 188767. The next prime is 188779. The reversal of 188768 is 867881.

188768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 188768.

It is not an unprimeable number, because it can be changed into a prime (188767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (16443).

2¹⁸⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197316).

188768 is an abundant number, since it is smaller than the sum of its proper divisors (205864).

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

188768 is a wasteful number, since it uses less digits than its factorization.

188768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 188768 is about 434.4743951029. The cubic root of 188768 is about 57.3644443854.

The spelling of 188768 in words is "one hundred eighty-eight thousand, seven hundred sixty-eight".