3128580 has 144 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 656640.

The previous prime is 3128579. The next prime is 3128581. The reversal of 3128580 is 858213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3128579) and next prime (3128581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16285 + ... + 16475.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

Almost surely, 2^3128580 is an apocalyptic number.

3128580 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 3128580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3128580 is an abundant number, since it is smaller than the sum of its proper divisors (8612604).

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

3128580 is a wasteful number, since it uses less digits than its factorization.

3128580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3128580 is about 1768.7792400410. The cubic root of 3128580 is about 146.2566948502.

The spelling of 3128580 in words is "three million, one hundred twenty-eight thousand, five hundred eighty".