1186304560 has 160 divisors (see below), whose sum is σ = 3227507712. Its totient is φ = 397163520.

The previous prime is 1186304543. The next prime is 1186304569. The reversal of 1186304560 is 654036811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1186304569) 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 31 ways as a sum of consecutive naturals, for example, 7556002 + ... + 7556158.

Almost surely, 2^1186304560 is an apocalyptic number.

1186304560 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 1186304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613753856).

1186304560 is an abundant number, since it is smaller than the sum of its proper divisors (2041203152).

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

1186304560 is a wasteful number, since it uses less digits than its factorization.

1186304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1186304560 is about 34442.7722461477. The cubic root of 1186304560 is about 1058.6004312867.

The spelling of 1186304560 in words is "one billion, one hundred eighty-six million, three hundred four thousand, five hundred sixty".