1036566544 has 60 divisors (see below), whose sum is σ = 2227360044. Its totient is φ = 464216832.

The previous prime is 1036566539. The next prime is 1036566571. The reversal of 1036566544 is 4456656301.

It can be written as a sum of positive squares in 2 ways, for example, as 551686144 + 484880400 = 23488^2 + 22020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1036566497 and 1036566506.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2824249 + ... + 2824615.

Almost surely, 2^1036566544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036566544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113680022).

1036566544 is an abundant number, since it is smaller than the sum of its proper divisors (1190793500).

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

1036566544 is an equidigital number, since it uses as much as digits as its factorization.

1036566544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 1036566544 is about 32195.7535088092. The cubic root of 1036566544 is about 1012.0432264496.

The spelling of 1036566544 in words is "one billion, thirty-six million, five hundred sixty-six thousand, five hundred forty-four".