6727240 has 64 divisors (see below), whose sum is σ = 17282160. Its totient is φ = 2334720.

The previous prime is 6727213. The next prime is 6727249. The reversal of 6727240 is 427276.

It can be written as a sum of positive squares in 8 ways, for example, as 586756 + 6140484 = 766^2 + 2478^2 .

It is a super-3 number, since 3×6727240³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 6⁵ + 7⁷ + 2⁵ + 7⁸ + 2¹⁷ + 4² + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 6727199 and 6727208.

It is not an unprimeable number, because it can be changed into a prime (6727249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8460 + ... + 9220.

Almost surely, 2^6727240 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 6727240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641080).

6727240 is an abundant number, since it is smaller than the sum of its proper divisors (10554920).

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

6727240 is a wasteful number, since it uses less digits than its factorization.

6727240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 6727240 is about 2593.6923487569. The cubic root of 6727240 is about 188.7755049376.

The spelling of 6727240 in words is "six million, seven hundred twenty-seven thousand, two hundred forty".