1129541760 has 288 divisors, whose sum is σ = 4065317100. Its totient is φ = 300091392.

The previous prime is 1129541729. The next prime is 1129541767. The reversal of 1129541760 is 671459211.

It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 121352256 = 31752^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1129541767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198906 + ... + 4199174.

Almost surely, 2^1129541760 is an apocalyptic number.

1129541760 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 1129541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032658550).

1129541760 is an abundant number, since it is smaller than the sum of its proper divisors (2935775340).

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

1129541760 is an frugal number, since it uses more digits than its factorization.

1129541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1129541760 is about 33608.6560278747. The cubic root of 1129541760 is about 1041.4396236334.

The spelling of 1129541760 in words is "one billion, one hundred twenty-nine million, five hundred forty-one thousand, seven hundred sixty".