6505120 has 48 divisors (see below), whose sum is σ = 15550920. Its totient is φ = 2571264.

The previous prime is 6505117. The next prime is 6505123. The reversal of 6505120 is 215056.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6505117) and next prime (6505123).

It can be written as a sum of positive squares in 4 ways, for example, as 5779216 + 725904 = 2404^2 + 852^2 .

It is not an unprimeable number, because it can be changed into a prime (6505123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17254 + ... + 17626.

Almost surely, 2^6505120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775460).

6505120 is an abundant number, since it is smaller than the sum of its proper divisors (9045800).

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

6505120 is a wasteful number, since it uses less digits than its factorization.

6505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 6505120 is about 2550.5136737528. The cubic root of 6505120 is about 186.6745461527.

Subtracting from 6505120 its reverse (215056), we obtain a square (6290064 = 2508²).

The spelling of 6505120 in words is "six million, five hundred five thousand, one hundred twenty".