1206580 has 48 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 443520.

The previous prime is 1206577. The next prime is 1206581. The reversal of 1206580 is 856021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206581) 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, 19750 + ... + 19810.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

2^1206580 is an apocalyptic number.

1206580 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 1206580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

1206580 is an abundant number, since it is smaller than the sum of its proper divisors (1543244).

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

1206580 is a wasteful number, since it uses less digits than its factorization.

1206580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1206580 is about 1098.4443545305. Note that the first 3 decimals coincide. The cubic root of 1206580 is about 106.4597333576.

The spelling of 1206580 in words is "one million, two hundred six thousand, five hundred eighty".