368144 has 40 divisors (see below), whose sum is σ = 863040. Its totient is φ = 148608.

The previous prime is 368141. The next prime is 368149. The reversal of 368144 is 441863.

It is not an unprimeable number, because it can be changed into a prime (368141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (21576).

2³⁶⁸¹⁴⁴ 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 368144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431520).

368144 is an abundant number, since it is smaller than the sum of its proper divisors (494896).

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

368144 is a wasteful number, since it uses less digits than its factorization.

368144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 368144 is about 606.7487124008. The cubic root of 368144 is about 71.6703032828.

It can be divided in two parts, 368 and 144, that added together give a 9-th power (512 = 2⁹).

The spelling of 368144 in words is "three hundred sixty-eight thousand, one hundred forty-four".