379168 has 36 divisors (see below), whose sum is σ = 812322. Its totient is φ = 174080.

The previous prime is 379163. The next prime is 379177. The reversal of 379168 is 861973.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 51984 = 572^2 + 228^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (379163) by changing a digit.

379168 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 5 ways as a sum of consecutive naturals, for example, 9228 + ... + 9268.

2³⁷⁹¹⁶⁸ 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 379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406161).

379168 is an abundant number, since it is smaller than the sum of its proper divisors (433154).

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

379168 is a wasteful number, since it uses less digits than its factorization.

379168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 379168 is about 615.7661893933. The cubic root of 379168 is about 72.3786634724.

The spelling of 379168 in words is "three hundred seventy-nine thousand, one hundred sixty-eight".