1185360 has 80 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 286720.

The previous prime is 1185343. The next prime is 1185361. The reversal of 1185360 is 635811.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1185360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2^1185360 is an apocalyptic number.

1185360 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 1185360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1185360 is an abundant number, since it is smaller than the sum of its proper divisors (2832240).

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

1185360 is a wasteful number, since it uses less digits than its factorization.

1185360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1185360 is about 1088.7423937737. The cubic root of 1185360 is about 105.8319396900.

The spelling of 1185360 in words is "one million, one hundred eighty-five thousand, three hundred sixty".