6511560 has 64 divisors (see below), whose sum is σ = 21314880. Its totient is φ = 1578240.

The previous prime is 6511559. The next prime is 6511577. The reversal of 6511560 is 651156.

6511560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6511560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 3786.

It is an arithmetic number, because the mean of its divisors is an integer number (333045).

Almost surely, 2^6511560 is an apocalyptic number.

6511560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6511560 is an abundant number, since it is smaller than the sum of its proper divisors (14803320).

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

6511560 is a wasteful number, since it uses less digits than its factorization.

6511560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 6511560 is about 2551.7758522253. The cubic root of 6511560 is about 186.7361277775.

It can be divided in two parts, 651 and 1560, that added together give a triangular number (2211 = T₆₆).

The spelling of 6511560 in words is "six million, five hundred eleven thousand, five hundred sixty".