282001560 has 128 divisors (see below), whose sum is σ = 866764800. Its totient is φ = 73382400.

The previous prime is 282001549. The next prime is 282001561. The reversal of 282001560 is 65100282.

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

It is a self number, because there is not a number n which added to its sum of digits gives 282001560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282001561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431382 + ... + 1431578.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2^282001560 is an apocalyptic number.

282001560 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 282001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433382400).

282001560 is an abundant number, since it is smaller than the sum of its proper divisors (584763240).

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

282001560 is a wasteful number, since it uses less digits than its factorization.

282001560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 282001560 is about 16792.9020720065. The cubic root of 282001560 is about 655.7684278309.

The spelling of 282001560 in words is "two hundred eighty-two million, one thousand, five hundred sixty".