378168 has 32 divisors (see below), whose sum is σ = 1080960. Its totient is φ = 108000.

The previous prime is 378167. The next prime is 378179. The reversal of 378168 is 861873.

It is a super-2 number, since 2×378168² = 286022072448, which contains 22 as substring.

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 378168.

It is not an unprimeable number, because it can be changed into a prime (378163) 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, 958 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (33780).

2³⁷⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

378168 is an abundant number, since it is smaller than the sum of its proper divisors (702792).

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

378168 is a wasteful number, since it uses less digits than its factorization.

378168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 378168 is about 614.9536567905. The cubic root of 378168 is about 72.3149780821.

It can be divided in two parts, 378 and 168, that multiplied together give a square (63504 = 252²).

The spelling of 378168 in words is "three hundred seventy-eight thousand, one hundred sixty-eight".