381168 has 30 divisors (see below), whose sum is σ = 1067144. Its totient is φ = 127008.

The previous prime is 381167. The next prime is 381169. The reversal of 381168 is 861183.

It is an interprime number because it is at equal distance from previous prime (381167) and next prime (381169).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381167) 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, 1180 + ... + 1467.

2³⁸¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

381168 is an abundant number, since it is smaller than the sum of its proper divisors (685976).

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

381168 is a wasteful number, since it uses less digits than its factorization.

381168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2652 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 381168 is about 617.3880465315. The cubic root of 381168 is about 72.5056991160.

The spelling of 381168 in words is "three hundred eighty-one thousand, one hundred sixty-eight".