188340 has 48 divisors (see below), whose sum is σ = 547008. Its totient is φ = 48384.

The previous prime is 188333. The next prime is 188351. The reversal of 188340 is 43881.

Added to its reverse (43881) it gives a triangular number (232221 = T₆₈₁).

It is a self number, because there is not a number n which added to its sum of digits gives 188340.

It is a congruent number.

It is an unprimeable number.

188340 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 15 ways as a sum of consecutive naturals, for example, 2544 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (11396).

2¹⁸⁸³⁴⁰ is an apocalyptic number.

188340 is a gapful number since it is divisible by the number (10) 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 188340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273504).

188340 is an abundant number, since it is smaller than the sum of its proper divisors (358668).

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

188340 is a wasteful number, since it uses less digits than its factorization.

188340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 188340 is about 433.9815664288. The cubic root of 188340 is about 57.3210568030.

Adding to 188340 its reverse (43881), we get a triangular number (232221 = T₆₈₁).

It can be divided in two parts, 188 and 340, that added together give a triangular number (528 = T₃₂).

The spelling of 188340 in words is "one hundred eighty-eight thousand, three hundred forty".