6005880 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1558656.

The previous prime is 6005869. The next prime is 6005887. The reversal of 6005880 is 885006.

6005880 is a `hidden beast` number, since 600 + 58 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72319 + ... + 72401.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^6005880 is an apocalyptic number.

6005880 is a gapful number since it is divisible by the number (60) 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 6005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6005880 is an abundant number, since it is smaller than the sum of its proper divisors (14557320).

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

6005880 is a wasteful number, since it uses less digits than its factorization.

6005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

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

The square root of 6005880 is about 2450.6896988399. The cubic root of 6005880 is about 181.7713991758.

The spelling of 6005880 in words is "six million, five thousand, eight hundred eighty".