1185204960 has 240 divisors, whose sum is σ = 4226191200. Its totient is φ = 312781824.

The previous prime is 1185204959. The next prime is 1185204967. The reversal of 1185204960 is 694025811.

1185204960 is a `hidden beast` number, since 118 + 52 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185204967) 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 39 ways as a sum of consecutive naturals, for example, 1412221 + ... + 1413059.

It is an arithmetic number, because the mean of its divisors is an integer number (17609130).

Almost surely, 2^1185204960 is an apocalyptic number.

1185204960 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 1185204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113095600).

1185204960 is an abundant number, since it is smaller than the sum of its proper divisors (3040986240).

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

1185204960 is a wasteful number, since it uses less digits than its factorization.

1185204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1185204960 is about 34426.8058349885. The cubic root of 1185204960 is about 1058.2732536764.

The spelling of 1185204960 in words is "one billion, one hundred eighty-five million, two hundred four thousand, nine hundred sixty".