6724864 has 36 divisors (see below), whose sum is σ = 13602820. Its totient is φ = 3317760.

The previous prime is 6724859. The next prime is 6724871. The reversal of 6724864 is 4684276.

6724864 = T₁₆ + T₁₇ + ... + T₃₄₂.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 1849600 = 2208^2 + 1360^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27784 + ... + 28024.

Almost surely, 2^6724864 is an apocalyptic number.

6724864 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 6724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801410).

6724864 is an abundant number, since it is smaller than the sum of its proper divisors (6877956).

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

6724864 is a wasteful number, since it uses less digits than its factorization.

6724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 6724864 is about 2593.2342740292. The cubic root of 6724864 is about 188.7532777233.

The spelling of 6724864 in words is "six million, seven hundred twenty-four thousand, eight hundred sixty-four".