206712 has 80 divisors (see below), whose sum is σ = 653400. Its totient is φ = 60480.

The previous prime is 206699. The next prime is 206749. The reversal of 206712 is 217602.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7114 + ... + 7142.

2²⁰⁶⁷¹² is an apocalyptic number.

206712 is a gapful number since it is divisible by the number (22) 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 206712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326700).

206712 is an abundant number, since it is smaller than the sum of its proper divisors (446688).

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

206712 is a wasteful number, since it uses less digits than its factorization.

206712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 206712 is about 454.6559138513. The cubic root of 206712 is about 59.1273701461.

The spelling of 206712 in words is "two hundred six thousand, seven hundred twelve".