382968 has 48 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 127008.

The previous prime is 382961. The next prime is 382979. The reversal of 382968 is 869283.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 9.

It is a zygodrome in base 5.

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 382968.

It is not an unprimeable number, because it can be changed into a prime (382961) by changing a digit.

382968 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1846 + ... + 2042.

2³⁸²⁹⁶⁸ 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 382968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

382968 is an abundant number, since it is smaller than the sum of its proper divisors (698112).

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

382968 is a wasteful number, since it uses less digits than its factorization.

382968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 382968 is about 618.8440837562. The cubic root of 382968 is about 72.6196518073.

The spelling of 382968 in words is "three hundred eighty-two thousand, nine hundred sixty-eight".