1085580 has 72 divisors (see below), whose sum is σ = 3402672. Its totient is φ = 279936.

The previous prime is 1085551. The next prime is 1085587. The reversal of 1085580 is 855801.

1085580 is a `hidden beast` number, since 1 + 0 + 85 + 580 = 666.

It is not an unprimeable number, because it can be changed into a prime (1085587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6579 + ... + 6741.

2^1085580 is an apocalyptic number.

1085580 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 1085580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701336).

1085580 is an abundant number, since it is smaller than the sum of its proper divisors (2317092).

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

1085580 is a wasteful number, since it uses less digits than its factorization.

1085580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1085580 is about 1041.9117045124. The cubic root of 1085580 is about 102.7749508732.

The spelling of 1085580 in words is "one million, eighty-five thousand, five hundred eighty".