1000580 has 36 divisors (see below), whose sum is σ = 2446668. Its totient is φ = 342720.

The previous prime is 1000579. The next prime is 1000589. The reversal of 1000580 is 850001.

It can be written as a sum of positive squares in 2 ways, for example, as 470596 + 529984 = 686^2 + 728^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000589) 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, 470 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (67963).

2^1000580 is an apocalyptic number.

1000580 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 1000580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223334).

1000580 is an abundant number, since it is smaller than the sum of its proper divisors (1446088).

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

1000580 is a wasteful number, since it uses less digits than its factorization.

1000580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1000580 is about 1000.2899579622. The cubic root of 1000580 is about 100.0193295968.

Adding to 1000580 its reverse (850001), we get a palindrome (1850581).

The spelling of 1000580 in words is "one million, five hundred eighty", and thus it is an aban number.