3116580 has 48 divisors (see below), whose sum is σ = 8816640. Its totient is φ = 822528.

The previous prime is 3116573. The next prime is 3116587. The reversal of 3116580 is 856113.

3116580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3116573) and next prime (3116587).

It is a self number, because there is not a number n which added to its sum of digits gives 3116580.

It is not an unprimeable number, because it can be changed into a prime (3116587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7416 + ... + 7824.

It is an arithmetic number, because the mean of its divisors is an integer number (183680).

Almost surely, 2^3116580 is an apocalyptic number.

3116580 is a gapful number since it is divisible by the number (30) 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 3116580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408320).

3116580 is an abundant number, since it is smaller than the sum of its proper divisors (5700060).

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

3116580 is a wasteful number, since it uses less digits than its factorization.

3116580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 3116580 is about 1765.3838109601. The cubic root of 3116580 is about 146.0694609119.

The spelling of 3116580 in words is "three million, one hundred sixteen thousand, five hundred eighty".