285575680 has 80 divisors (see below), whose sum is σ = 737468424. Its totient is φ = 105431040.

The previous prime is 285575671. The next prime is 285575683. The reversal of 285575680 is 86575582.

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 213393664 = 8496^2 + 14608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 285575680.

It is not an unprimeable number, because it can be changed into a prime (285575683) 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, 28990 + ... + 37570.

Almost surely, 2^285575680 is an apocalyptic number.

285575680 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 285575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368734212).

285575680 is an abundant number, since it is smaller than the sum of its proper divisors (451892744).

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

285575680 is an equidigital number, since it uses as much as digits as its factorization.

285575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The square root of 285575680 is about 16898.9845848796. The cubic root of 285575680 is about 658.5272333118.

The spelling of 285575680 in words is "two hundred eighty-five million, five hundred seventy-five thousand, six hundred eighty".