190368 has 36 divisors (see below), whose sum is σ = 542178. Its totient is φ = 63360.

The previous prime is 190367. The next prime is 190369. The reversal of 190368 is 863091.

190368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190367) and next prime (190369).

It can be written as a sum of positive squares in only one way, i.e., 138384 + 51984 = 372^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (190367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43 + ... + 618.

2¹⁹⁰³⁶⁸ is an apocalyptic number.

190368 is a gapful number since it is divisible by the number (18) 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 190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271089).

190368 is an abundant number, since it is smaller than the sum of its proper divisors (351810).

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

190368 is a wasteful number, since it uses less digits than its factorization.

190368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 190368 is about 436.3118151047. The cubic root of 190368 is about 57.5260625392.

It can be divided in two parts, 19036 and 8, that added together give a square (19044 = 138²).

The spelling of 190368 in words is "one hundred ninety thousand, three hundred sixty-eight".