206416 has 40 divisors (see below), whose sum is σ = 486080. Its totient is φ = 82944.

The previous prime is 206413. The next prime is 206419. The reversal of 206416 is 614602.

206416 = T₅₅ + T₅₆ + ... + T₁₁₁.

It is an interprime number because it is at equal distance from previous prime (206413) and next prime (206419).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 206393 and 206402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2080 + ... + 2176.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2²⁰⁶⁴¹⁶ 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 206416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243040).

206416 is an abundant number, since it is smaller than the sum of its proper divisors (279664).

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

206416 is a wasteful number, since it uses less digits than its factorization.

206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 206416 is about 454.3302763409. The cubic root of 206416 is about 59.0991343042.

It can be divided in two parts, 2064 and 16, that added together give a triangular number (2080 = T₆₄).

The spelling of 206416 in words is "two hundred six thousand, four hundred sixteen".