382140 has 72 divisors (see below), whose sum is σ = 1271088. Its totient is φ = 92160.

The previous prime is 382117. The next prime is 382163. The reversal of 382140 is 41283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382117) and next prime (382163).

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

It is a congruent number.

It is an unprimeable number.

382140 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 23 ways as a sum of consecutive naturals, for example, 1884 + ... + 2076.

It is an arithmetic number, because the mean of its divisors is an integer number (17654).

2³⁸²¹⁴⁰ is an apocalyptic number.

382140 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 382140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635544).

382140 is an abundant number, since it is smaller than the sum of its proper divisors (888948).

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

382140 is a wasteful number, since it uses less digits than its factorization.

382140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 382140 is about 618.1747325797. The cubic root of 382140 is about 72.5672780162.

The spelling of 382140 in words is "three hundred eighty-two thousand, one hundred forty".