285120 has 140 divisors (see below), whose sum is σ = 1106424. Its totient is φ = 69120.

The previous prime is 285119. The next prime is 285121. The reversal of 285120 is 21582.

It is an interprime number because it is at equal distance from previous prime (285119) and next prime (285121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 285093 and 285102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285121) 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 19 ways as a sum of consecutive naturals, for example, 25915 + ... + 25925.

2²⁸⁵¹²⁰ is an apocalyptic number.

285120 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 285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553212).

285120 is an abundant number, since it is smaller than the sum of its proper divisors (821304).

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

285120 is a wasteful number, since it uses less digits than its factorization.

285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 285120 is about 533.9662910709. The cubic root of 285120 is about 65.8176786292.

The spelling of 285120 in words is "two hundred eighty-five thousand, one hundred twenty".