386120 has 48 divisors (see below), whose sum is σ = 1015740. Its totient is φ = 131712.

The previous prime is 386119. The next prime is 386129. The reversal of 386120 is 21683.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 23716 = 602^2 + 154^2 .

It is a super-3 number, since 3×386120³ = 172698333710784000, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 386092 and 386101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386120.

It is not an unprimeable number, because it can be changed into a prime (386129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1862 + ... + 2058.

2³⁸⁶¹²⁰ 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 386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507870).

386120 is an abundant number, since it is smaller than the sum of its proper divisors (629620).

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

386120 is a wasteful number, since it uses less digits than its factorization.

386120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

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

The square root of 386120 is about 621.3855485928. The cubic root of 386120 is about 72.8183385753.

386120 divided by its sum of digits (20) gives a triangular number (19306 = T₁₉₆).

The spelling of 386120 in words is "three hundred eighty-six thousand, one hundred twenty".