1185528960 has 768 divisors, whose sum is σ = 5339577600. Its totient is φ = 246343680.

The previous prime is 1185528947. The next prime is 1185528977. The reversal of 1185528960 is 698255811.

It is a happy number.

1185528960 is a `hidden beast` number, since 1 + 1 + 8 + 552 + 8 + 96 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 107775355 + ... + 107775365.

It is an arithmetic number, because the mean of its divisors is an integer number (6952575).

Almost surely, 2^1185528960 is an apocalyptic number.

1185528960 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 1185528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669788800).

1185528960 is an abundant number, since it is smaller than the sum of its proper divisors (4154048640).

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

1185528960 is an frugal number, since it uses more digits than its factorization.

1185528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1185528960 is about 34431.5111489461. The cubic root of 1185528960 is about 1058.3696784316.

The spelling of 1185528960 in words is "one billion, one hundred eighty-five million, five hundred twenty-eight thousand, nine hundred sixty".