6276864 has 72 divisors (see below), whose sum is σ = 18248832. Its totient is φ = 1899520.

The previous prime is 6276841. The next prime is 6276871. The reversal of 6276864 is 4686726.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8077 + ... + 8819.

It is an arithmetic number, because the mean of its divisors is an integer number (253456).

Almost surely, 2^6276864 is an apocalyptic number.

6276864 is a gapful number since it is divisible by the number (64) 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 6276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124416).

6276864 is an abundant number, since it is smaller than the sum of its proper divisors (11971968).

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

6276864 is a wasteful number, since it uses less digits than its factorization.

6276864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6276864 is about 2505.3670389785. The cubic root of 6276864 is about 184.4651119027.

It can be divided in two parts, 6276 and 864, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 6276864 in words is "six million, two hundred seventy-six thousand, eight hundred sixty-four".