6905712 has 120 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 1971200.

The previous prime is 6905707. The next prime is 6905713. The reversal of 6905712 is 2175096.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6905712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6905713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168412 + ... + 168452.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 2^6905712 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 6905712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

6905712 is an abundant number, since it is smaller than the sum of its proper divisors (13874208).

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

6905712 is a wasteful number, since it uses less digits than its factorization.

6905712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 6905712 is about 2627.8721430085. The cubic root of 6905712 is about 190.4303449505.

The spelling of 6905712 in words is "six million, nine hundred five thousand, seven hundred twelve".