6561360 has 120 divisors (see below), whose sum is σ = 23764104. Its totient is φ = 1612800.

The previous prime is 6561319. The next prime is 6561383. The reversal of 6561360 is 631656.

6561360 is a `hidden beast` number, since 656 + 1 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 5875776 = 828^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 9010 + ... + 9710.

Almost surely, 2^6561360 is an apocalyptic number.

6561360 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 6561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882052).

6561360 is an abundant number, since it is smaller than the sum of its proper divisors (17202744).

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

6561360 is a wasteful number, since it uses less digits than its factorization.

6561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6561360 is about 2561.5151766093. The cubic root of 6561360 is about 187.2109680183.

It can be divided in two parts, 656 and 1360, that added together give a triangular number (2016 = T₆₃).

The spelling of 6561360 in words is "six million, five hundred sixty-one thousand, three hundred sixty".