1075441536 has 320 divisors, whose sum is σ = 3524875200. Its totient is φ = 323481600.

The previous prime is 1075441531. The next prime is 1075441547. The reversal of 1075441536 is 6351445701.

1075441536 is a `hidden beast` number, since 10 + 75 + 4 + 41 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1075441536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075441531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10647886 + ... + 10647986.

It is an arithmetic number, because the mean of its divisors is an integer number (11015235).

Almost surely, 2^1075441536 is an apocalyptic number.

1075441536 is a gapful number since it is divisible by the number (16) 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 1075441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762437600).

1075441536 is an abundant number, since it is smaller than the sum of its proper divisors (2449433664).

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

1075441536 is a wasteful number, since it uses less digits than its factorization.

1075441536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1075441536 is about 32793.9252911267. The cubic root of 1075441536 is about 1024.5400390364.

The spelling of 1075441536 in words is "one billion, seventy-five million, four hundred forty-one thousand, five hundred thirty-six".