285600816 has 240 divisors, whose sum is σ = 914004000. Its totient is φ = 85929984.

The previous prime is 285600773. The next prime is 285600827. The reversal of 285600816 is 618006582.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916710 + ... + 1916858.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^285600816 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 285600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457002000).

285600816 is an abundant number, since it is smaller than the sum of its proper divisors (628403184).

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

285600816 is a wasteful number, since it uses less digits than its factorization.

285600816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 285600816 is about 16899.7282818393. The cubic root of 285600816 is about 658.5465536486.

The spelling of 285600816 in words is "two hundred eighty-five million, six hundred thousand, eight hundred sixteen".