3205120 has 48 divisors (see below), whose sum is σ = 7714980. Its totient is φ = 1277952.

The previous prime is 3205087. The next prime is 3205141. The reversal of 3205120 is 215023.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 541696 = 1632^2 + 736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3205120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10084 + ... + 10396.

Almost surely, 2^3205120 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 3205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857490).

3205120 is an abundant number, since it is smaller than the sum of its proper divisors (4509860).

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

3205120 is an equidigital number, since it uses as much as digits as its factorization.

3205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3205120 is about 1790.2848935295. The cubic root of 3205120 is about 147.4398107387.

It can be divided in two parts, 320 and 5120, that multiplied together give a square (1638400 = 1280²).

The spelling of 3205120 in words is "three million, two hundred five thousand, one hundred twenty".