382368 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 109056.

The previous prime is 382363. The next prime is 382373. The reversal of 382368 is 863283.

It is an interprime number because it is at equal distance from previous prime (382363) and next prime (382373).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (382363) 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, 388 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³⁸²³⁶⁸ 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 382368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

382368 is an abundant number, since it is smaller than the sum of its proper divisors (766752).

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

382368 is a wasteful number, since it uses less digits than its factorization.

382368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 382368 is about 618.3591189592. The cubic root of 382368 is about 72.5817073266.

The spelling of 382368 in words is "three hundred eighty-two thousand, three hundred sixty-eight".