6402560 has 80 divisors (see below), whose sum is σ = 15983352. Its totient is φ = 2457600.

The previous prime is 6402547. The next prime is 6402577. The reversal of 6402560 is 652046.

6402560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 4804864 = 1264^2 + 2192^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104930 + ... + 104990.

Almost surely, 2^6402560 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 6402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991676).

6402560 is an abundant number, since it is smaller than the sum of its proper divisors (9580792).

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

6402560 is an equidigital number, since it uses as much as digits as its factorization.

6402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 6402560 is about 2530.3280419740. The cubic root of 6402560 is about 185.6883051850.

It can be divided in two parts, 640 and 2560, that multiplied together give a square (1638400 = 1280²).

The spelling of 6402560 in words is "six million, four hundred two thousand, five hundred sixty".