6381180 has 144 divisors (see below), whose sum is σ = 21831264. Its totient is φ = 1555200.

The previous prime is 6381139. The next prime is 6381191. The reversal of 6381180 is 811836.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63130 + ... + 63230.

It is an arithmetic number, because the mean of its divisors is an integer number (151606).

Almost surely, 2^6381180 is an apocalyptic number.

6381180 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 6381180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915632).

6381180 is an abundant number, since it is smaller than the sum of its proper divisors (15450084).

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

6381180 is a wasteful number, since it uses less digits than its factorization.

6381180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6381180 is about 2526.0997605004. The cubic root of 6381180 is about 185.4813857032.

It can be divided in two parts, 6381 and 180, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6381180 in words is "six million, three hundred eighty-one thousand, one hundred eighty".