285320 has 32 divisors (see below), whose sum is σ = 734400. Its totient is φ = 97728.

The previous prime is 285317. The next prime is 285343. The reversal of 285320 is 23582.

285320 = T₅₃ + T₅₄ + ... + T₁₂₂.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 285292 and 285301.

It is an unprimeable number.

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, 230 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2²⁸⁵³²⁰ is an apocalyptic number.

285320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285320 is an abundant number, since it is smaller than the sum of its proper divisors (449080).

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

285320 is a wasteful number, since it uses less digits than its factorization.

285320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 285320 is about 534.1535359801. The cubic root of 285320 is about 65.8330645007.

The spelling of 285320 in words is "two hundred eighty-five thousand, three hundred twenty".