206460 has 72 divisors (see below), whose sum is σ = 663936. Its totient is φ = 51840.

The previous prime is 206447. The next prime is 206461. The reversal of 206460 is 64602.

206460 is a `hidden beast` number, since 20 + 646 + 0 = 666.

206460 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206461) by changing a digit.

206460 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, 5562 + ... + 5598.

2²⁰⁶⁴⁶⁰ is an apocalyptic number.

206460 is a gapful number since it is divisible by the number (20) 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 206460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331968).

206460 is an abundant number, since it is smaller than the sum of its proper divisors (457476).

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

206460 is a wasteful number, since it uses less digits than its factorization.

206460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206460 is about 454.3786966837. The cubic root of 206460 is about 59.1033332312.

It can be divided in two parts, 206 and 460, that added together give a palindrome (666).

The spelling of 206460 in words is "two hundred six thousand, four hundred sixty".