386208 has 60 divisors (see below), whose sum is σ = 1143450. Its totient is φ = 127872.

The previous prime is 386173. The next prime is 386219. The reversal of 386208 is 802683.

386208 is a `hidden beast` number, since 38 + 620 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 11664 = 612^2 + 108^2 .

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

It is an unprimeable number.

386208 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 9 ways as a sum of consecutive naturals, for example, 2518 + ... + 2666.

2³⁸⁶²⁰⁸ 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 386208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571725).

386208 is an abundant number, since it is smaller than the sum of its proper divisors (757242).

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

386208 is a wasteful number, since it uses less digits than its factorization.

386208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

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

The square root of 386208 is about 621.4563540588. The cubic root of 386208 is about 72.8238701260.

The spelling of 386208 in words is "three hundred eighty-six thousand, two hundred eight".