6126816 has 48 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1934208.

The previous prime is 6126787. The next prime is 6126821. The reversal of 6126816 is 6186216.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 3503.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^6126816 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 6126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

6126816 is an abundant number, since it is smaller than the sum of its proper divisors (10807584).

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

6126816 is a wasteful number, since it uses less digits than its factorization.

6126816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3383 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 6126816 is about 2475.2405943665. The cubic root of 6126816 is about 182.9833661611.

The spelling of 6126816 in words is "six million, one hundred twenty-six thousand, eight hundred sixteen".