1065882240 has 320 divisors, whose sum is σ = 3943269000. Its totient is φ = 274046976.

The previous prime is 1065882239. The next prime is 1065882241. The reversal of 1065882240 is 422885601.

1065882240 is a `hidden beast` number, since 10 + 6 + 588 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1065882239) and next prime (1065882241).

It can be written as a sum of positive squares in 4 ways, for example, as 668119104 + 397763136 = 25848^2 + 19944^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1065882240² = 2272209899094835200, which contains 22 as substring.

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 = 1065882195 and 1065882204.

It is not an unprimeable number, because it can be changed into a prime (1065882241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503006 + ... + 1503714.

Almost surely, 2^1065882240 is an apocalyptic number.

1065882240 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 1065882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971634500).

1065882240 is an abundant number, since it is smaller than the sum of its proper divisors (2877386760).

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

1065882240 is an equidigital number, since it uses as much as digits as its factorization.

1065882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1065882240 is about 32647.8519967241. The cubic root of 1065882240 is about 1021.4953844552.

The spelling of 1065882240 in words is "one billion, sixty-five million, eight hundred eighty-two thousand, two hundred forty".