6461560 has 64 divisors (see below), whose sum is σ = 17003520. Its totient is φ = 2163840.

The previous prime is 6461549. The next prime is 6461561. The reversal of 6461560 is 651646.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12915 + ... + 13405.

It is an arithmetic number, because the mean of its divisors is an integer number (265680).

Almost surely, 2^6461560 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 6461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501760).

6461560 is an abundant number, since it is smaller than the sum of its proper divisors (10541960).

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

6461560 is a wasteful number, since it uses less digits than its factorization.

6461560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6461560 is about 2541.9598737982. The cubic root of 6461560 is about 186.2569386181.

It can be divided in two parts, 6461 and 560, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 6461560 in words is "six million, four hundred sixty-one thousand, five hundred sixty".