282782160 has 120 divisors (see below), whose sum is σ = 959704200. Its totient is φ = 74612736.

The previous prime is 282782141. The next prime is 282782173. The reversal of 282782160 is 61287282.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 275427216 = 2712^2 + 16596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67816 + ... + 71864.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^282782160 is an apocalyptic number.

282782160 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 282782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479852100).

282782160 is an abundant number, since it is smaller than the sum of its proper divisors (676922040).

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

282782160 is a wasteful number, since it uses less digits than its factorization.

282782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 282782160 is about 16816.1279728718. The cubic root of 282782160 is about 656.3729413206.

The spelling of 282782160 in words is "two hundred eighty-two million, seven hundred eighty-two thousand, one hundred sixty".