386920 has 32 divisors (see below), whose sum is σ = 923400. Its totient is φ = 145408.

The previous prime is 386891. The next prime is 386921. The reversal of 386920 is 29683.

It can be written as a sum of positive squares in 4 ways, for example, as 298116 + 88804 = 546^2 + 298^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 396 + ... + 964.

2³⁸⁶⁹²⁰ 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 386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461700).

386920 is an abundant number, since it is smaller than the sum of its proper divisors (536480).

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

386920 is a wasteful number, since it uses less digits than its factorization.

386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 386920 is about 622.0289382336. The cubic root of 386920 is about 72.8685945274.

The spelling of 386920 in words is "three hundred eighty-six thousand, nine hundred twenty".