186368 has 48 divisors (see below), whose sum is σ = 458640. Its totient is φ = 73728.

The previous prime is 186343. The next prime is 186377. The reversal of 186368 is 863681.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

186368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14330 + ... + 14342.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

186368 is a Friedman number, since it can be written as (6^6-8*8)*(3+1), using all its digits and the basic arithmetic operations.

2¹⁸⁶³⁶⁸ 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 186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

186368 is an abundant number, since it is smaller than the sum of its proper divisors (272272).

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

186368 is an equidigital number, since it uses as much as digits as its factorization.

186368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 186368 is about 431.7036020234. The cubic root of 186368 is about 57.1202958554.

The spelling of 186368 in words is "one hundred eighty-six thousand, three hundred sixty-eight".