1131256960 has 128 divisors (see below), whose sum is σ = 2939558400. Its totient is φ = 414720000.

The previous prime is 1131256949. The next prime is 1131256961. The reversal of 1131256960 is 696521311.

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

It is not an unprimeable number, because it can be changed into a prime (1131256961) by changing a digit.

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, 375460 + ... + 378460.

It is an arithmetic number, because the mean of its divisors is an integer number (22965300).

Almost surely, 2^1131256960 is an apocalyptic number.

1131256960 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 1131256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469779200).

1131256960 is an abundant number, since it is smaller than the sum of its proper divisors (1808301440).

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

1131256960 is a wasteful number, since it uses less digits than its factorization.

1131256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 1131256960 is about 33634.1635840703. The cubic root of 1131256960 is about 1041.9664962463.

The spelling of 1131256960 in words is "one billion, one hundred thirty-one million, two hundred fifty-six thousand, nine hundred sixty".