285760 has 56 divisors (see below), whose sum is σ = 731520. Its totient is φ = 105984.

The previous prime is 285757. The next prime is 285763. The reversal of 285760 is 67582.

It is an interprime number because it is at equal distance from previous prime (285757) and next prime (285763).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (285763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6057 + ... + 6103.

2²⁸⁵⁷⁶⁰ is an apocalyptic number.

285760 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 285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

285760 is an abundant number, since it is smaller than the sum of its proper divisors (445760).

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

285760 is a wasteful number, since it uses less digits than its factorization.

285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 285760 is about 534.5652439132. The cubic root of 285760 is about 65.8668881269.

The spelling of 285760 in words is "two hundred eighty-five thousand, seven hundred sixty".