1185580 has 48 divisors (see below), whose sum is σ = 2884896. Its totient is φ = 404480.

The previous prime is 1185577. The next prime is 1185589. The reversal of 1185580 is 855811.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1185589) 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, 3582 + ... + 3898.

It is an arithmetic number, because the mean of its divisors is an integer number (60102).

2^1185580 is an apocalyptic number.

1185580 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 1185580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442448).

1185580 is an abundant number, since it is smaller than the sum of its proper divisors (1699316).

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

1185580 is a wasteful number, since it uses less digits than its factorization.

1185580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 1185580 is about 1088.8434230871. The cubic root of 1185580 is about 105.8384866705.

It can be divided in two parts, 11855 and 80, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 1185580 in words is "one million, one hundred eighty-five thousand, five hundred eighty".