286016 has 28 divisors (see below), whose sum is σ = 586740. Its totient is φ = 138240.

The previous prime is 286009. The next prime is 286019. The reversal of 286016 is 610682.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 193600 = 304^2 + 440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 285982 and 286000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286019) by changing a digit.

286016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2570 + ... + 2678.

It is an arithmetic number, because the mean of its divisors is an integer number (20955).

2²⁸⁶⁰¹⁶ 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 286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293370).

286016 is an abundant number, since it is smaller than the sum of its proper divisors (300724).

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

286016 is a wasteful number, since it uses less digits than its factorization.

286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 286016 is about 534.8046372275. The cubic root of 286016 is about 65.8865513531.

Adding to 286016 its reverse (610682), we get a palindrome (896698).

The spelling of 286016 in words is "two hundred eighty-six thousand, sixteen".