1158960960 has 280 divisors, whose sum is σ = 4195928616. Its totient is φ = 303575040.

The previous prime is 1158960931. The next prime is 1158960967. The reversal of 1158960960 is 690698511.

1158960960 is a `hidden beast` number, since 1 + 1 + 589 + 6 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127780416 + 1031180544 = 11304^2 + 32112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158960967) 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 39 ways as a sum of consecutive naturals, for example, 1580754 + ... + 1581486.

Almost surely, 2^1158960960 is an apocalyptic number.

1158960960 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 1158960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097964308).

1158960960 is an abundant number, since it is smaller than the sum of its proper divisors (3036967656).

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

1158960960 is an equidigital number, since it uses as much as digits as its factorization.

1158960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1158960960 is about 34043.5156821384. The cubic root of 1158960960 is about 1050.4037630859.

The spelling of 1158960960 in words is "one billion, one hundred fifty-eight million, nine hundred sixty thousand, nine hundred sixty".