6477120 has 168 divisors, whose sum is σ = 24131016. Its totient is φ = 1585152.

The previous prime is 6477113. The next prime is 6477137. The reversal of 6477120 is 217746.

6477120 is a `hidden beast` number, since 647 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 5645376 = 912^2 + 2376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37354 + ... + 37526.

It is an arithmetic number, because the mean of its divisors is an integer number (143637).

Almost surely, 2^6477120 is an apocalyptic number.

6477120 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 6477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065508).

6477120 is an abundant number, since it is smaller than the sum of its proper divisors (17653896).

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

6477120 is a wasteful number, since it uses less digits than its factorization.

6477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 6477120 is about 2545.0186639787. The cubic root of 6477120 is about 186.4063264199.

The spelling of 6477120 in words is "six million, four hundred seventy-seven thousand, one hundred twenty".