6561104 has 30 divisors (see below), whose sum is σ = 13976970. Its totient is φ = 2981440.

The previous prime is 6561103. The next prime is 6561127. The reversal of 6561104 is 4011656.

It can be written as a sum of positive squares in only one way, i.e., 6512704 + 48400 = 2552^2 + 220^2 .

It is a super-3 number, since 3×6561104³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6561104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 242 + ... + 3630.

It is an arithmetic number, because the mean of its divisors is an integer number (465899).

Almost surely, 2^6561104 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 6561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988485).

6561104 is an abundant number, since it is smaller than the sum of its proper divisors (7415866).

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

6561104 is a wasteful number, since it uses less digits than its factorization.

6561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 6561104 is about 2561.4652056977. The cubic root of 6561104 is about 187.2085332268.

The spelling of 6561104 in words is "six million, five hundred sixty-one thousand, one hundred four".