283360 has 96 divisors (see below), whose sum is σ = 870912. Its totient is φ = 84480.

The previous prime is 283303. The next prime is 283369. The reversal of 283360 is 63382.

283360 = 43² + 44² + ... + 97².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283369) by changing a digit.

283360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 12309 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2²⁸³³⁶⁰ is an apocalyptic number.

283360 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 283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

283360 is an abundant number, since it is smaller than the sum of its proper divisors (587552).

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

283360 is a wasteful number, since it uses less digits than its factorization.

283360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 283360 is about 532.3156958047. The cubic root of 283360 is about 65.6819716903.

Adding to 283360 its sum of digits (22), we get a palindrome (283382).

283360 divided by its sum of digits (22) gives a triangular number (12880 = T₁₆₀).

The spelling of 283360 in words is "two hundred eighty-three thousand, three hundred sixty".