382620 has 48 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 87360.

The previous prime is 382601. The next prime is 382621. The reversal of 382620 is 26283.

382620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 382620.

It is not an unprimeable number, because it can be changed into a prime (382621) by changing a digit.

382620 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2³⁸²⁶²⁰ is an apocalyptic number.

382620 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 382620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

382620 is an abundant number, since it is smaller than the sum of its proper divisors (843108).

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

382620 is a wasteful number, since it uses less digits than its factorization.

382620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 382620 is about 618.5628504849. The cubic root of 382620 is about 72.5976488398.

The spelling of 382620 in words is "three hundred eighty-two thousand, six hundred twenty".