1132085760 has 640 divisors, whose sum is σ = 4454714880. Its totient is φ = 242221056.

The previous prime is 1132085741. The next prime is 1132085761. The reversal of 1132085760 is 675802311.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132085761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39037426 + ... + 39037454.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492).

Almost surely, 2^1132085760 is an apocalyptic number.

1132085760 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 1132085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227357440).

1132085760 is an abundant number, since it is smaller than the sum of its proper divisors (3322629120).

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

1132085760 is a wasteful number, since it uses less digits than its factorization.

1132085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1132085760 is about 33646.4821340954. The cubic root of 1132085760 is about 1042.2208949819.

The spelling of 1132085760 in words is "one billion, one hundred thirty-two million, eighty-five thousand, seven hundred sixty".