126368 has 24 divisors (see below), whose sum is σ = 272160. Its totient is φ = 57280.

The previous prime is 126359. The next prime is 126397. The reversal of 126368 is 863621.

It is an unprimeable number.

126368 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 3 ways as a sum of consecutive naturals, for example, 173 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹²⁶³⁶⁸ 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 126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

126368 is an abundant number, since it is smaller than the sum of its proper divisors (145792).

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

126368 is a wasteful number, since it uses less digits than its factorization.

126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 126368 is about 355.4827703279. The cubic root of 126368 is about 50.1817386211.

Adding to 126368 its reverse (863621), we get a palindrome (989989).

It can be divided in two parts, 1263 and 68, that added together give a palindrome (1331).

The spelling of 126368 in words is "one hundred twenty-six thousand, three hundred sixty-eight".