6387120 has 80 divisors (see below), whose sum is σ = 22007520. Its totient is φ = 1702656.

The previous prime is 6387109. The next prime is 6387131. The reversal of 6387120 is 217836.

6387120 is a `hidden beast` number, since 638 + 7 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6387109) and next prime (6387131).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a zygodrome in base 3.

It is an unprimeable number.

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, 682 + ... + 3638.

It is an arithmetic number, because the mean of its divisors is an integer number (275094).

Almost surely, 2^6387120 is an apocalyptic number.

6387120 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 6387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003760).

6387120 is an abundant number, since it is smaller than the sum of its proper divisors (15620400).

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

6387120 is a wasteful number, since it uses less digits than its factorization.

6387120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6387120 is about 2527.2752125560. The cubic root of 6387120 is about 185.5389203988.

The spelling of 6387120 in words is "six million, three hundred eighty-seven thousand, one hundred twenty".