206388 has 90 divisors (see below), whose sum is σ = 675906. Its totient is φ = 54432.

The previous prime is 206383. The next prime is 206399. The reversal of 206388 is 883602.

206388 is a `hidden beast` number, since 20 + 638 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 63504 = 378^2 + 252^2 .

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206388.

It is not an unprimeable number, because it can be changed into a prime (206383) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15870 + ... + 15882.

2²⁰⁶³⁸⁸ is an apocalyptic number.

206388 is a gapful number since it is divisible by the number (28) 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 206388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337953).

206388 is an abundant number, since it is smaller than the sum of its proper divisors (469518).

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

206388 is a wasteful number, since it uses less digits than its factorization.

206388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

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

The square root of 206388 is about 454.2994607085. The cubic root of 206388 is about 59.0964619490.

The spelling of 206388 in words is "two hundred six thousand, three hundred eighty-eight".