381968 has 10 divisors (see below), whose sum is σ = 740094. Its totient is φ = 190976.

The previous prime is 381949. The next prime is 381977. The reversal of 381968 is 869183.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 123904 = 508^2 + 352^2 .

It is an unprimeable number.

381968 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 as a sum of consecutive naturals, namely, 11921 + ... + 11952.

2³⁸¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

381968 is a deficient number, since it is larger than the sum of its proper divisors (358126).

381968 is a wasteful number, since it uses less digits than its factorization.

381968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23881 (or 23875 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 381968 is about 618.0355976803. The cubic root of 381968 is about 72.5563889486.

The spelling of 381968 in words is "three hundred eighty-one thousand, nine hundred sixty-eight".