382020 has 24 divisors (see below), whose sum is σ = 1069824. Its totient is φ = 101856.

The previous prime is 382003. The next prime is 382021. The reversal of 382020 is 20283.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382020.

It is not an unprimeable number, because it can be changed into a prime (382021) 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, 3124 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (44576).

2³⁸²⁰²⁰ is an apocalyptic number.

382020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382020 is an abundant number, since it is smaller than the sum of its proper divisors (687804).

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

382020 is a wasteful number, since it uses less digits than its factorization.

382020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 382020 is about 618.0776650228. The cubic root of 382020 is about 72.5596813370.

Subtracting from 382020 its product of nonzero digits (96), we obtain a square (381924 = 618²).

The spelling of 382020 in words is "three hundred eighty-two thousand, twenty".