840580 has 48 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 299520.

The previous prime is 840571. The next prime is 840589. The reversal of 840580 is 85048.

It is an interprime number because it is at equal distance from previous prime (840571) and next prime (840589).

It can be written as a sum of positive squares in 8 ways, for example, as 161604 + 678976 = 402^2 + 824^2 .

It is not an unprimeable number, because it can be changed into a prime (840589) by changing a digit.

840580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13750 + ... + 13810.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁸⁴⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

840580 is an abundant number, since it is smaller than the sum of its proper divisors (1128044).

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

840580 is a wasteful number, since it uses less digits than its factorization.

840580 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 1280, while the sum is 25.

The square root of 840580 is about 916.8315003314. The cubic root of 840580 is about 94.3755909792.

It can be divided in two parts, 8405 and 80, that multiplied together give a square (672400 = 820²).

The spelling of 840580 in words is "eight hundred forty thousand, five hundred eighty".