282264 has 32 divisors (see below), whose sum is σ = 744000. Its totient is φ = 88992.

The previous prime is 282253. The next prime is 282281. The reversal of 282264 is 462282.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁸ + 8 + 2¹⁰ + 2¹⁰ + 6⁷ + 4² .

It is a congruent number.

It is an unprimeable number.

282264 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 7 ways as a sum of consecutive naturals, for example, 147 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (23250).

2²⁸²²⁶⁴ is an apocalyptic number.

282264 is a gapful number since it is divisible by the number (24) 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 282264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372000).

282264 is an abundant number, since it is smaller than the sum of its proper divisors (461736).

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

282264 is a wasteful number, since it uses less digits than its factorization.

282264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 282264 is about 531.2852341257. The cubic root of 282264 is about 65.5971791371.

The spelling of 282264 in words is "two hundred eighty-two thousand, two hundred sixty-four".