1135824804 has 81 divisors (see below), whose sum is σ = 2964485251. Its totient is φ = 366677760.

The previous prime is 1135824773. The next prime is 1135824827. The reversal of 1135824804 is 4084285311.

The square root of 1135824804 is 33702.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 238702500 + 897122304 = 15450^2 + 29952^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8290624 + ... + 8290760.

Almost surely, 2^1135824804 is an apocalyptic number.

1135824804 is the 33702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135824804

1135824804 is an abundant number, since it is smaller than the sum of its proper divisors (1828660447).

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

1135824804 is a wasteful number, since it uses less digits than its factorization.

1135824804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

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

The cubic root of 1135824804 is about 1043.3670470811.

Multiplying 1135824804 by its sum of digits (36), we get a square (40889692944 = 202212²).

1135824804 divided by its sum of digits (36) gives a square (31550689 = 5617²).

The spelling of 1135824804 in words is "one billion, one hundred thirty-five million, eight hundred twenty-four thousand, eight hundred four".