1120541760 has 252 divisors, whose sum is σ = 4174804452. Its totient is φ = 274231296.

The previous prime is 1120541731. The next prime is 1120541803. The reversal of 1120541760 is 671450211.

It is a happy number.

1120541760 is a `hidden beast` number, since 112 + 0 + 541 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50466816 + 1070074944 = 7104^2 + 32712^2 .

It is a super-2 number, since 2×1120541760² = 2511227671807795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6477034 + ... + 6477206.

Almost surely, 2^1120541760 is an apocalyptic number.

1120541760 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 1120541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087402226).

1120541760 is an abundant number, since it is smaller than the sum of its proper divisors (3054262692).

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

1120541760 is a wasteful number, since it uses less digits than its factorization.

1120541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1120541760 is about 33474.4941709356. The cubic root of 1120541760 is about 1038.6662389506. Note that the first 3 decimals are identical.

Adding to 1120541760 its reverse (671450211), we get a palindrome (1791991971).

The spelling of 1120541760 in words is "one billion, one hundred twenty million, five hundred forty-one thousand, seven hundred sixty".