399168 has 140 divisors (see below), whose sum is σ = 1475232. Its totient is φ = 103680.

The previous prime is 399163. The next prime is 399173. The reversal of 399168 is 861993.

It is an interprime number because it is at equal distance from previous prime (399163) and next prime (399173).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 399168.

It is not an unprimeable number, because it can be changed into a prime (399163) by changing a digit.

399168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36283 + ... + 36293.

2³⁹⁹¹⁶⁸ 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 399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737616).

399168 is an abundant number, since it is smaller than the sum of its proper divisors (1076064).

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

399168 is a wasteful number, since it uses less digits than its factorization.

399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 399168 is about 631.7974358922. The cubic root of 399168 is about 73.6295092759.

The spelling of 399168 in words is "three hundred ninety-nine thousand, one hundred sixty-eight".