382160 has 40 divisors (see below), whose sum is σ = 944136. Its totient is φ = 143360.

The previous prime is 382117. The next prime is 382163. The reversal of 382160 is 61283.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 274576 = 328^2 + 524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382163) by changing a digit.

382160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220 + ... + 1500.

2³⁸²¹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472068).

382160 is an abundant number, since it is smaller than the sum of its proper divisors (561976).

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

382160 is a wasteful number, since it uses less digits than its factorization.

382160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 382160 is about 618.1909090241. The cubic root of 382160 is about 72.5685439748.

The spelling of 382160 in words is "three hundred eighty-two thousand, one hundred sixty".