282068640 has 144 divisors (see below), whose sum is σ = 1100107008. Its totient is φ = 64470528.

The previous prime is 282068639. The next prime is 282068653. The reversal of 282068640 is 46860282.

282068640 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 282068595 and 282068604.

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, 3912 + ... + 24071.

It is an arithmetic number, because the mean of its divisors is an integer number (7639632).

Almost surely, 2^282068640 is an apocalyptic number.

282068640 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 282068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550053504).

282068640 is an abundant number, since it is smaller than the sum of its proper divisors (818038368).

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

282068640 is a wasteful number, since it uses less digits than its factorization.

282068640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28011 (or 28000 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 282068640 is about 16794.8992256578. The cubic root of 282068640 is about 655.8204198112.

The spelling of 282068640 in words is "two hundred eighty-two million, sixty-eight thousand, six hundred forty".