1186284960 has 192 divisors, whose sum is σ = 4745260800. Its totient is φ = 271143936.

The previous prime is 1186284941. The next prime is 1186284997. The reversal of 1186284960 is 694826811.

1186284960 is a `hidden beast` number, since 1 + 18 + 628 + 4 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

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, 10626 + ... + 49854.

It is an arithmetic number, because the mean of its divisors is an integer number (24714900).

Almost surely, 2^1186284960 is an apocalyptic number.

1186284960 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 1186284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372630400).

1186284960 is an abundant number, since it is smaller than the sum of its proper divisors (3558975840).

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

1186284960 is a wasteful number, since it uses less digits than its factorization.

1186284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39260 (or 39246 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1186284960 is about 34442.4877150301. The cubic root of 1186284960 is about 1058.5946012260.

It can be divided in two parts, 1186 and 284960, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 1186284960 in words is "one billion, one hundred eighty-six million, two hundred eighty-four thousand, nine hundred sixty".