6905664 has 84 divisors (see below), whose sum is σ = 20868640. Its totient is φ = 2177280.

The previous prime is 6905651. The next prime is 6905669. The reversal of 6905664 is 4665096.

It is a happy number.

6905664 is a `hidden beast` number, since 6 + 90 + 566 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6905669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10629 + ... + 11259.

Almost surely, 2^6905664 is an apocalyptic number.

6905664 is a gapful number since it is divisible by the number (64) 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 6905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434320).

6905664 is an abundant number, since it is smaller than the sum of its proper divisors (13962976).

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

6905664 is a wasteful number, since it uses less digits than its factorization.

6905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6905664 is about 2627.8630101282. The cubic root of 6905664 is about 190.4299037371.

It can be divided in two parts, 6905 and 664, that added together give a square (7569 = 87²).

The spelling of 6905664 in words is "six million, nine hundred five thousand, six hundred sixty-four".