1152088704 has 128 divisors (see below), whose sum is σ = 3661963200. Its totient is φ = 354475008.

The previous prime is 1152088687. The next prime is 1152088733. The reversal of 1152088704 is 4078802511.

It is a tau number, because it is divible by the number of its divisors (128).

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

1152088704 is a modest number, since divided by 88704 gives 1152 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32107 + ... + 57749.

Almost surely, 2^1152088704 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 1152088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830981600).

1152088704 is an abundant number, since it is smaller than the sum of its proper divisors (2509874496).

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

1152088704 is a wasteful number, since it uses less digits than its factorization.

1152088704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25679 (or 25661 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1152088704 is about 33942.4322051323. The cubic root of 1152088704 is about 1048.3234632713.

The spelling of 1152088704 in words is "one billion, one hundred fifty-two million, eighty-eight thousand, seven hundred four".