6724368 has 90 divisors (see below), whose sum is σ = 21914334. Its totient is φ = 1919232.

The previous prime is 6724357. The next prime is 6724373. The reversal of 6724368 is 8634276.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 1192464 = 2352^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 6 + 7⁷ + 2¹⁵ + 4¹¹ + 3¹³ + 6⁶ + 8⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6580 + ... + 7532.

Almost surely, 2^6724368 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 6724368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957167).

6724368 is an abundant number, since it is smaller than the sum of its proper divisors (15189966).

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

6724368 is a wasteful number, since it uses less digits than its factorization.

6724368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6724368 is about 2593.1386387928. The cubic root of 6724368 is about 188.7486370382.

The spelling of 6724368 in words is "six million, seven hundred twenty-four thousand, three hundred sixty-eight".