386820 has 72 divisors (see below), whose sum is σ = 1345344. Its totient is φ = 88128.

The previous prime is 386809. The next prime is 386839. The reversal of 386820 is 28683.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386820.

It is an unprimeable number.

386820 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 23 ways as a sum of consecutive naturals, for example, 1107 + ... + 1413.

2³⁸⁶⁸²⁰ is an apocalyptic number.

386820 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 386820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672672).

386820 is an abundant number, since it is smaller than the sum of its proper divisors (958524).

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

386820 is a wasteful number, since it uses less digits than its factorization.

386820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 386820 is about 621.9485509268. The cubic root of 386820 is about 72.8623163240.

The spelling of 386820 in words is "three hundred eighty-six thousand, eight hundred twenty".