383968 has 36 divisors (see below), whose sum is σ = 830088. Its totient is φ = 174720.

The previous prime is 383963. The next prime is 383969. The reversal of 383968 is 869383.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5373 + ... + 5443.

It is an arithmetic number, because the mean of its divisors is an integer number (23058).

2³⁸³⁹⁶⁸ 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 383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415044).

383968 is an abundant number, since it is smaller than the sum of its proper divisors (446120).

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

383968 is a wasteful number, since it uses less digits than its factorization.

383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 383968 is about 619.6515149663. The cubic root of 383968 is about 72.6828046343.

The spelling of 383968 in words is "three hundred eighty-three thousand, nine hundred sixty-eight".