1185353680 has 80 divisors (see below), whose sum is σ = 3163083264. Its totient is φ = 404674560.

The previous prime is 1185353669. The next prime is 1185353681. The reversal of 1185353680 is 863535811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185353681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130569 + ... + 139351.

Almost surely, 2^1185353680 is an apocalyptic number.

1185353680 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 1185353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581541632).

1185353680 is an abundant number, since it is smaller than the sum of its proper divisors (1977729584).

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

1185353680 is a wasteful number, since it uses less digits than its factorization.

1185353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 1185353680 is about 34428.9657120280. The cubic root of 1185353680 is about 1058.3175160111.

The spelling of 1185353680 in words is "one billion, one hundred eighty-five million, three hundred fifty-three thousand, six hundred eighty".