6128580 has 48 divisors (see below), whose sum is σ = 17910144. Its totient is φ = 1562880.

The previous prime is 6128567. The next prime is 6128581. The reversal of 6128580 is 858216.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128581) 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, 841 + ... + 3600.

It is an arithmetic number, because the mean of its divisors is an integer number (373128).

Almost surely, 2^6128580 is an apocalyptic number.

6128580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6128580 is an abundant number, since it is smaller than the sum of its proper divisors (11781564).

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

6128580 is a wasteful number, since it uses less digits than its factorization.

6128580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 6128580 is about 2475.5968977198. The cubic root of 6128580 is about 183.0009256724. Note that the first 3 decimals are identical.

The spelling of 6128580 in words is "six million, one hundred twenty-eight thousand, five hundred eighty".