282020640 has 192 divisors, whose sum is σ = 1000968192. Its totient is φ = 66124800.

The previous prime is 282020639. The next prime is 282020647. The reversal of 282020640 is 46020282.

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 282020640.

It is not an unprimeable number, because it can be changed into a prime (282020647) 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, 162819 + ... + 164541.

It is an arithmetic number, because the mean of its divisors is an integer number (5213376).

Almost surely, 2^282020640 is an apocalyptic number.

282020640 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 282020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500484096).

282020640 is an abundant number, since it is smaller than the sum of its proper divisors (718947552).

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

282020640 is a wasteful number, since it uses less digits than its factorization.

282020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

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

The square root of 282020640 is about 16793.4701595590. The cubic root of 282020640 is about 655.7832170865.

The spelling of 282020640 in words is "two hundred eighty-two million, twenty thousand, six hundred forty".