6414560 has 48 divisors (see below), whose sum is σ = 15494976. Its totient is φ = 2508288.

The previous prime is 6414557. The next prime is 6414581. The reversal of 6414560 is 654146.

It is a happy number.

It is a super-2 number, since 2×6414560² = 82293159987200, which contains 22 as substring.

It is a zygodrome in base 2.

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, 7094 + ... + 7946.

It is an arithmetic number, because the mean of its divisors is an integer number (322812).

Almost surely, 2^6414560 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 6414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747488).

6414560 is an abundant number, since it is smaller than the sum of its proper divisors (9080416).

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

6414560 is a wasteful number, since it uses less digits than its factorization.

6414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 6414560 is about 2532.6981659882. The cubic root of 6414560 is about 185.8042415711.

The spelling of 6414560 in words is "six million, four hundred fourteen thousand, five hundred sixty".