6418560 has 64 divisors (see below), whose sum is σ = 20465280. Its totient is φ = 1711104.

The previous prime is 6418543. The next prime is 6418579. The reversal of 6418560 is 658146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (319770).

Almost surely, 2^6418560 is an apocalyptic number.

6418560 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 6418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10232640).

6418560 is an abundant number, since it is smaller than the sum of its proper divisors (14046720).

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

6418560 is a wasteful number, since it uses less digits than its factorization.

6418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6418560 is about 2533.4877145943. The cubic root of 6418560 is about 185.8428548994.

Adding to 6418560 its product of nonzero digits (5760), we get a triangular number (6424320 = T₃₅₈₄).

The spelling of 6418560 in words is "six million, four hundred eighteen thousand, five hundred sixty".