382320 has 100 divisors (see below), whose sum is σ = 1350360. Its totient is φ = 100224.

The previous prime is 382303. The next prime is 382331. The reversal of 382320 is 23283.

382320 = T₅₅ + T₅₆ + ... + T₁₃₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 382293 and 382302.

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 382320.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6451 + ... + 6509.

2³⁸²³²⁰ is an apocalyptic number.

382320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675180).

382320 is an abundant number, since it is smaller than the sum of its proper divisors (968040).

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

382320 is a wasteful number, since it uses less digits than its factorization.

382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 382320 is about 618.3203053434. The cubic root of 382320 is about 72.5786700538.

The spelling of 382320 in words is "three hundred eighty-two thousand, three hundred twenty".