285696 has 66 divisors (see below), whose sum is σ = 851552. Its totient is φ = 92160.

The previous prime is 285673. The next prime is 285697. The reversal of 285696 is 696582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁴ + 6 + 5⁴ + 9 + 6⁷ .

Its product of digits (25920) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 285696.

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 285696.

It is not an unprimeable number, because it can be changed into a prime (285697) by changing a digit.

285696 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9201 + ... + 9231.

285696 is a Friedman number, since it can be written as (566-8)*2^9, using all its digits and the basic arithmetic operations.

2²⁸⁵⁶⁹⁶ 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 285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425776).

285696 is an abundant number, since it is smaller than the sum of its proper divisors (565856).

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

285696 is a wasteful number, since it uses less digits than its factorization.

285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 285696 is about 534.5053788317. The cubic root of 285696 is about 65.8619704855.

The spelling of 285696 in words is "two hundred eighty-five thousand, six hundred ninety-six".