382680 has 48 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 101952.

The previous prime is 382663. The next prime is 382693. The reversal of 382680 is 86283.

382680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 172 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2³⁸²⁶⁸⁰ is an apocalyptic number.

382680 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 382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

382680 is an abundant number, since it is smaller than the sum of its proper divisors (862200).

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

382680 is a wasteful number, since it uses less digits than its factorization.

382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382680 is about 618.6113481015. The cubic root of 382680 is about 72.6014434064.

The spelling of 382680 in words is "three hundred eighty-two thousand, six hundred eighty".