6711040 has 108 divisors (see below), whose sum is σ = 18874296. Its totient is φ = 2279424.

The previous prime is 6711031. The next prime is 6711043. The reversal of 6711040 is 401176.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6710999 and 6711017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6711043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62667 + ... + 62773.

It is an arithmetic number, because the mean of its divisors is an integer number (174762).

Almost surely, 2^6711040 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 6711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437148).

6711040 is an abundant number, since it is smaller than the sum of its proper divisors (12163256).

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

6711040 is a wasteful number, since it uses less digits than its factorization.

6711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 6711040 is about 2590.5675053934. The cubic root of 6711040 is about 188.6238517942.

It can be divided in two parts, 671 and 1040, that added together give a triangular number (1711 = T₅₈).

The spelling of 6711040 in words is "six million, seven hundred eleven thousand, forty".