1134556560 has 240 divisors, whose sum is σ = 4005368640. Its totient is φ = 287400960.

The previous prime is 1134556537. The next prime is 1134556597. The reversal of 1134556560 is 656554311.

1134556560 is a `hidden beast` number, since 1 + 1 + 3 + 45 + 56 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398555 + ... + 1399365.

It is an arithmetic number, because the mean of its divisors is an integer number (16689036).

Almost surely, 2^1134556560 is an apocalyptic number.

1134556560 is a gapful number since it is divisible by the number (10) 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 1134556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002684320).

1134556560 is an abundant number, since it is smaller than the sum of its proper divisors (2870812080).

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

1134556560 is a wasteful number, since it uses less digits than its factorization.

1134556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1134556560 is about 33683.1791848691. The cubic root of 1134556560 is about 1042.9785667443.

The spelling of 1134556560 in words is "one billion, one hundred thirty-four million, five hundred fifty-six thousand, five hundred sixty".