1205580 has 48 divisors (see below), whose sum is σ = 3435264. Its totient is φ = 315840.

The previous prime is 1205563. The next prime is 1205609. The reversal of 1205580 is 855021.

It is a super-3 number, since 3×1205580³ = 5256653594343336000, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4119 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (71568).

2^1205580 is an apocalyptic number.

1205580 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 1205580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717632).

1205580 is an abundant number, since it is smaller than the sum of its proper divisors (2229684).

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

1205580 is a wasteful number, since it uses less digits than its factorization.

1205580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1205580 is about 1097.9890709839. The cubic root of 1205580 is about 106.4303143503.

The spelling of 1205580 in words is "one million, two hundred five thousand, five hundred eighty".