1185080 has 64 divisors (see below), whose sum is σ = 2993760. Its totient is φ = 419328.

The previous prime is 1185077. The next prime is 1185089. The reversal of 1185080 is 805811.

1185080 = 80² + 81² + ... + 159².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185089) 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, 22334 + ... + 22386.

2^1185080 is an apocalyptic number.

1185080 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 1185080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880).

1185080 is an abundant number, since it is smaller than the sum of its proper divisors (1808680).

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

1185080 is a wasteful number, since it uses less digits than its factorization.

1185080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 1185080 is about 1088.6137974507. The cubic root of 1185080 is about 105.8236059976.

The spelling of 1185080 in words is "one million, one hundred eighty-five thousand, eighty".