368112 has 20 divisors (see below), whose sum is σ = 951080. Its totient is φ = 122688.

The previous prime is 368111. The next prime is 368117. The reversal of 368112 is 211863.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368112.

It is not an unprimeable number, because it can be changed into a prime (368111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3787 + ... + 3882.

It is an arithmetic number, because the mean of its divisors is an integer number (47554).

2³⁶⁸¹¹² is an apocalyptic number.

It is an amenable number.

368112 is an abundant number, since it is smaller than the sum of its proper divisors (582968).

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

368112 is a wasteful number, since it uses less digits than its factorization.

368112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7674 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 368112 is about 606.7223417676. The cubic root of 368112 is about 71.6682266351.

Adding to 368112 its reverse (211863), we get a palindrome (579975).

The spelling of 368112 in words is "three hundred sixty-eight thousand, one hundred twelve".