1065280320 has 336 divisors, whose sum is σ = 4057893840. Its totient is φ = 254803968.

The previous prime is 1065280309. The next prime is 1065280331. The reversal of 1065280320 is 230825601.

1065280320 is a `hidden beast` number, since 1 + 0 + 65 + 280 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1065280309) and next prime (1065280331).

It can be written as a sum of positive squares in 8 ways, for example, as 9290304 + 1055990016 = 3048^2 + 32496^2 .

It is a super-2 number, since 2×1065280320² = 2269644320358604800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384896 + ... + 1385664.

It is an arithmetic number, because the mean of its divisors is an integer number (12077065).

Almost surely, 2^1065280320 is an apocalyptic number.

1065280320 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 1065280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028946920).

1065280320 is an abundant number, since it is smaller than the sum of its proper divisors (2992613520).

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

1065280320 is a wasteful number, since it uses less digits than its factorization.

1065280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1065280320 is about 32638.6323242871. The cubic root of 1065280320 is about 1021.3030635605.

The spelling of 1065280320 in words is "one billion, sixty-five million, two hundred eighty thousand, three hundred twenty".