285160000 has 70 divisors (see below), whose sum is σ = 707203310. Its totient is φ = 114048000.

The previous prime is 285159983. The next prime is 285160019. The reversal of 285160000 is 61582.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 93392896 + 191767104 = 9664^2 + 13848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36436 + ... + 43564.

Almost surely, 2^285160000 is an apocalyptic number.

285160000 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 285160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353601655).

285160000 is an abundant number, since it is smaller than the sum of its proper divisors (422043310).

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

285160000 is an frugal number, since it uses more digits than its factorization.

285160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7161 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 285160000 is about 16886.6811422494. The cubic root of 285160000 is about 658.2075637896.

The spelling of 285160000 in words is "two hundred eighty-five million, one hundred sixty thousand".