6486120 has 96 divisors (see below), whose sum is σ = 21621600. Its totient is φ = 1685376.

The previous prime is 6486107. The next prime is 6486121. The reversal of 6486120 is 216846.

6486120 = T₁₂₉ + T₁₃₀ + ... + T₃₄₄.

6486120 is a `hidden beast` number, since 6 + 48 + 612 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6486121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15271 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^6486120 is an apocalyptic number.

6486120 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 6486120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810800).

6486120 is an abundant number, since it is smaller than the sum of its proper divisors (15135480).

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

6486120 is a wasteful number, since it uses less digits than its factorization.

6486120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6486120 is about 2546.7862101087. The cubic root of 6486120 is about 186.4926240593.

The spelling of 6486120 in words is "six million, four hundred eighty-six thousand, one hundred twenty".