282960 has 80 divisors (see below), whose sum is σ = 982080. Its totient is φ = 74880.

The previous prime is 282959. The next prime is 282973. The reversal of 282960 is 69282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 2225.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2²⁸²⁹⁶⁰ is an apocalyptic number.

282960 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 282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

282960 is an abundant number, since it is smaller than the sum of its proper divisors (699120).

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

282960 is a wasteful number, since it uses less digits than its factorization.

282960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 282960 is about 531.9398462232. The cubic root of 282960 is about 65.6510508818.

The spelling of 282960 in words is "two hundred eighty-two thousand, nine hundred sixty".