388206 has 64 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 101088.

The previous prime is 388187. The next prime is 388211. The reversal of 388206 is 602883.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 388206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4875 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2³⁸⁸²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

388206 is an abundant number, since it is smaller than the sum of its proper divisors (686994).

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

388206 is a wasteful number, since it uses less digits than its factorization.

388206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

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

The square root of 388206 is about 623.0617946881. The cubic root of 388206 is about 72.9492359899.

It can be divided in two parts, 3 and 88206, that added together give a square (88209 = 297²).

The spelling of 388206 in words is "three hundred eighty-eight thousand, two hundred six".