6312180 has 144 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 1354752.

The previous prime is 6312157. The next prime is 6312181. The reversal of 6312180 is 812136.

6312180 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312181) 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, 55804 + ... + 55916.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 2^6312180 is an apocalyptic number.

6312180 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 6312180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916640).

6312180 is an abundant number, since it is smaller than the sum of its proper divisors (15521100).

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

6312180 is a wasteful number, since it uses less digits than its factorization.

6312180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6312180 is about 2512.4052220930. The cubic root of 6312180 is about 184.8104218181.

It can be divided in two parts, 6 and 312180, that multiplied together give a triangular number (1873080 = T₁₉₃₅).

The spelling of 6312180 in words is "six million, three hundred twelve thousand, one hundred eighty".