1065525760 has 160 divisors (see below), whose sum is σ = 2787290352. Its totient is φ = 388300800.

The previous prime is 1065525749. The next prime is 1065525763. The reversal of 1065525760 is 675255601.

It can be written as a sum of positive squares in 8 ways, for example, as 280629504 + 784896256 = 16752^2 + 28016^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1065525760² = 2270690290447155200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065525763) 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 15 ways as a sum of consecutive naturals, for example, 3361122 + ... + 3361438.

Almost surely, 2^1065525760 is an apocalyptic number.

1065525760 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 1065525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393645176).

1065525760 is an abundant number, since it is smaller than the sum of its proper divisors (1721764592).

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

1065525760 is a wasteful number, since it uses less digits than its factorization.

1065525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 1065525760 is about 32642.3920692096. The cubic root of 1065525760 is about 1021.3814934255.

The spelling of 1065525760 in words is "one billion, sixty-five million, five hundred twenty-five thousand, seven hundred sixty".