1284382720 has 56 divisors (see below), whose sum is σ = 3082428684. Its totient is φ = 513736704.

The previous prime is 1284382709. The next prime is 1284382727. The reversal of 1284382720 is 272834821.

It can be written as a sum of positive squares in 2 ways, for example, as 1279922176 + 4460544 = 35776^2 + 2112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1284382720.

It is not an unprimeable number, because it can be changed into a prime (1284382727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25282 + ... + 56638.

Almost surely, 2^1284382720 is an apocalyptic number.

1284382720 is a gapful number since it is divisible by the number (10) 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 1284382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541214342).

1284382720 is an abundant number, since it is smaller than the sum of its proper divisors (1798045964).

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

1284382720 is an frugal number, since it uses more digits than its factorization.

1284382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31388 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 1284382720 is about 35838.2856732852. The cubic root of 1284382720 is about 1087.0048570793.

The spelling of 1284382720 in words is "one billion, two hundred eighty-four million, three hundred eighty-two thousand, seven hundred twenty".