1161986560 has 160 divisors (see below), whose sum is σ = 3239292672. Its totient is φ = 391495680.

The previous prime is 1161986531. The next prime is 1161986563. The reversal of 1161986560 is 656891611.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1161986563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092589 + ... + 1093651.

Almost surely, 2^1161986560 is an apocalyptic number.

1161986560 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 1161986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619646336).

1161986560 is an abundant number, since it is smaller than the sum of its proper divisors (2077306112).

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

1161986560 is an equidigital number, since it uses as much as digits as its factorization.

1161986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 1161986560 is about 34087.9239614266. The cubic root of 1161986560 is about 1051.3170351575.

The spelling of 1161986560 in words is "one billion, one hundred sixty-one million, nine hundred eighty-six thousand, five hundred sixty".