188968 has 32 divisors (see below), whose sum is σ = 403200. Its totient is φ = 82368.

The previous prime is 188957. The next prime is 188983. The reversal of 188968 is 869881.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 188968.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2353 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁸⁸⁹⁶⁸ 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 188968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

188968 is an abundant number, since it is smaller than the sum of its proper divisors (214232).

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

188968 is a wasteful number, since it uses less digits than its factorization.

188968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 188968 is about 434.7044973312. The cubic root of 188968 is about 57.3846964751.

It can be divided in two parts, 188 and 968, that added together give a square (1156 = 34²).

The spelling of 188968 in words is "one hundred eighty-eight thousand, nine hundred sixty-eight".