283320 has 48 divisors (see below), whose sum is σ = 921960. Its totient is φ = 75456.

The previous prime is 283303. The next prime is 283369. The reversal of 283320 is 23382.

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 = 283293 and 283302.

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 283320.

It is an unprimeable number.

283320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 753.

2²⁸³³²⁰ is an apocalyptic number.

283320 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 283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460980).

283320 is an abundant number, since it is smaller than the sum of its proper divisors (638640).

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

283320 is a wasteful number, since it uses less digits than its factorization.

283320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 283320 is about 532.2781227892. The cubic root of 283320 is about 65.6788809194.

The spelling of 283320 in words is "two hundred eighty-three thousand, three hundred twenty".