6715440 has 80 divisors (see below), whose sum is σ = 23138400. Its totient is φ = 1790208.

The previous prime is 6715421. The next prime is 6715441. The reversal of 6715440 is 445176.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (6715441) 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, 606 + ... + 3714.

It is an arithmetic number, because the mean of its divisors is an integer number (289230).

Almost surely, 2^6715440 is an apocalyptic number.

6715440 is a gapful number since it is divisible by the number (60) 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 6715440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569200).

6715440 is an abundant number, since it is smaller than the sum of its proper divisors (16422960).

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

6715440 is a wasteful number, since it uses less digits than its factorization.

6715440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6715440 is about 2591.4166010119. The cubic root of 6715440 is about 188.6650656564.

The spelling of 6715440 in words is "six million, seven hundred fifteen thousand, four hundred forty".