6867664 has 60 divisors (see below), whose sum is σ = 14881860. Its totient is φ = 3064320.

The previous prime is 6867649. The next prime is 6867667. The reversal of 6867664 is 4667686.

It can be written as a sum of positive squares in 2 ways, for example, as 1669264 + 5198400 = 1292^2 + 2280^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6867664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867667) 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, 167484 + ... + 167524.

It is an arithmetic number, because the mean of its divisors is an integer number (248031).

Almost surely, 2^6867664 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 6867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440930).

6867664 is an abundant number, since it is smaller than the sum of its proper divisors (8014196).

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

6867664 is a wasteful number, since it uses less digits than its factorization.

6867664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 6867664 is about 2620.6228267341. The cubic root of 6867664 is about 190.0799663394.

The spelling of 6867664 in words is "six million, eight hundred sixty-seven thousand, six hundred sixty-four".