188256 has 48 divisors (see below), whose sum is σ = 517104. Its totient is φ = 59904.

The previous prime is 188249. The next prime is 188261. The reversal of 188256 is 652881.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

188256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3526 + ... + 3578.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2¹⁸⁸²⁵⁶ is an apocalyptic number.

188256 is a gapful number since it is divisible by the number (16) 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 188256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552).

188256 is an abundant number, since it is smaller than the sum of its proper divisors (328848).

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

188256 is a wasteful number, since it uses less digits than its factorization.

188256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 188256 is about 433.8847773315. The cubic root of 188256 is about 57.3125337688.

It can be divided in two parts, 188 and 256, that added together give a palindrome (444).

The spelling of 188256 in words is "one hundred eighty-eight thousand, two hundred fifty-six".