1131584064 has 224 divisors, whose sum is σ = 3441070080. Its totient is φ = 325306368.

The previous prime is 1131584029. The next prime is 1131584081. The reversal of 1131584064 is 4604851311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5074257 + ... + 5074479.

It is an arithmetic number, because the mean of its divisors is an integer number (15361920).

Almost surely, 2^1131584064 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 1131584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

1131584064 is an abundant number, since it is smaller than the sum of its proper divisors (2309486016).

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

1131584064 is a wasteful number, since it uses less digits than its factorization.

1131584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1131584064 is about 33639.0259074189. The cubic root of 1131584064 is about 1042.0669150947.

The spelling of 1131584064 in words is "one billion, one hundred thirty-one million, five hundred eighty-four thousand, sixty-four".