282216960 has 200 divisors, whose sum is σ = 1011554676. Its totient is φ = 75202560.

The previous prime is 282216959. The next prime is 282216967. The reversal of 282216960 is 69612282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 264777984 + 17438976 = 16272^2 + 4176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282216967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206680 + ... + 208040.

Almost surely, 2^282216960 is an apocalyptic number.

282216960 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 282216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505777338).

282216960 is an abundant number, since it is smaller than the sum of its proper divisors (729337716).

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

282216960 is an equidigital number, since it uses as much as digits as its factorization.

282216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 282216960 is about 16799.3142717195. The cubic root of 282216960 is about 655.9353495677.

The spelling of 282216960 in words is "two hundred eighty-two million, two hundred sixteen thousand, nine hundred sixty".