388168 has 24 divisors (see below), whose sum is σ = 801990. Its totient is φ = 176000.

The previous prime is 388163. The next prime is 388169. The reversal of 388168 is 861883.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 174724 = 462^2 + 418^2 .

It is not an unprimeable number, because it can be changed into a prime (388163) 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, 768 + ... + 1168.

2³⁸⁸¹⁶⁸ 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 388168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400995).

388168 is an abundant number, since it is smaller than the sum of its proper divisors (413822).

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

388168 is a wasteful number, since it uses less digits than its factorization.

388168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 388168 is about 623.0312993743. The cubic root of 388168 is about 72.9468556717.

The spelling of 388168 in words is "three hundred eighty-eight thousand, one hundred sixty-eight".