282080 has 48 divisors (see below), whose sum is σ = 698544. Its totient is φ = 107520.

The previous prime is 282071. The next prime is 282089. The reversal of 282080 is 80282.

It is an interprime number because it is at equal distance from previous prime (282071) and next prime (282089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282089) 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, 6539 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2²⁸²⁰⁸⁰ is an apocalyptic number.

282080 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 282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272).

282080 is an abundant number, since it is smaller than the sum of its proper divisors (416464).

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

282080 is a wasteful number, since it uses less digits than its factorization.

282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 282080 is about 531.1120409104. The cubic root of 282080 is about 65.5829223838.

The spelling of 282080 in words is "two hundred eighty-two thousand, eighty".