6105840 has 160 divisors (see below), whose sum is σ = 21665280. Its totient is φ = 1410048.

The previous prime is 6105829. The next prime is 6105877. The reversal of 6105840 is 485016.

6105840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2471²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6105840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59229 + ... + 59331.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^6105840 is an apocalyptic number.

6105840 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 6105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

6105840 is an abundant number, since it is smaller than the sum of its proper divisors (15559440).

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

6105840 is a wasteful number, since it uses less digits than its factorization.

6105840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6105840 is about 2470.9997976528. Note that the first 3 decimals coincide. The cubic root of 6105840 is about 182.7743044609.

The spelling of 6105840 in words is "six million, one hundred five thousand, eight hundred forty".