285500160 has 288 divisors, whose sum is σ = 1106703360. Its totient is φ = 69120000.

The previous prime is 285500141. The next prime is 285500161. The reversal of 285500160 is 61005582.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285500161) 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 31 ways as a sum of consecutive naturals, for example, 379785 + ... + 380535.

It is an arithmetic number, because the mean of its divisors is an integer number (3842720).

Almost surely, 2^285500160 is an apocalyptic number.

285500160 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 285500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553351680).

285500160 is an abundant number, since it is smaller than the sum of its proper divisors (821203200).

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

285500160 is a wasteful number, since it uses less digits than its factorization.

285500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 285500160 is about 16896.7499833548. The cubic root of 285500160 is about 658.4691793940.

The spelling of 285500160 in words is "two hundred eighty-five million, five hundred thousand, one hundred sixty".