1086580 has 36 divisors (see below), whose sum is σ = 2513700. Its totient is φ = 394240.

The previous prime is 1086559. The next prime is 1086587. The reversal of 1086580 is 856801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 559504 = 726^2 + 748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196 + ... + 2644.

It is an arithmetic number, because the mean of its divisors is an integer number (69825).

2^1086580 is an apocalyptic number.

1086580 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 1086580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256850).

1086580 is an abundant number, since it is smaller than the sum of its proper divisors (1427120).

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

1086580 is a wasteful number, since it uses less digits than its factorization.

1086580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1086580 is about 1042.3914811624. The cubic root of 1086580 is about 102.8064988044.

The spelling of 1086580 in words is "one million, eighty-six thousand, five hundred eighty".