386680 has 32 divisors (see below), whose sum is σ = 995040. Its totient is φ = 132480.

The previous prime is 386677. The next prime is 386689. The reversal of 386680 is 86683.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386689) 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, 411 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (31095).

2³⁸⁶⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

386680 is an abundant number, since it is smaller than the sum of its proper divisors (608360).

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

386680 is a wasteful number, since it uses less digits than its factorization.

386680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 386680 is about 621.8359912388. The cubic root of 386680 is about 72.8535250213.

The spelling of 386680 in words is "three hundred eighty-six thousand, six hundred eighty".