1185280 has 40 divisors (see below), whose sum is σ = 2848032. Its totient is φ = 473088.

The previous prime is 1185241. The next prime is 1185281. The reversal of 1185280 is 825811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2329 + ... + 2791.

2^1185280 is an apocalyptic number.

1185280 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 1185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424016).

1185280 is an abundant number, since it is smaller than the sum of its proper divisors (1662752).

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

1185280 is an frugal number, since it uses more digits than its factorization.

1185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 1185280 is about 1088.7056535171. The cubic root of 1185280 is about 105.8295587689.

The spelling of 1185280 in words is "one million, one hundred eighty-five thousand, two hundred eighty".