6286720 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 2119680.

The previous prime is 6286711. The next prime is 6286723. The reversal of 6286720 is 276826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6286723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133737 + ... + 133783.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^6286720 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 6286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

6286720 is an abundant number, since it is smaller than the sum of its proper divisors (11338880).

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

6286720 is a wasteful number, since it uses less digits than its factorization.

6286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6286720 is about 2507.3332447044. Note that the first 3 decimals coincide. The cubic root of 6286720 is about 184.5616111194.

The spelling of 6286720 in words is "six million, two hundred eighty-six thousand, seven hundred twenty".