6985664 has 56 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 2891520.

The previous prime is 6985639. The next prime is 6985679. The reversal of 6985664 is 4665896.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13637 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (292608).

Almost surely, 2^6985664 is an apocalyptic number.

6985664 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 6985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

6985664 is an abundant number, since it is smaller than the sum of its proper divisors (9400384).

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

6985664 is a wasteful number, since it uses less digits than its factorization.

6985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 6985664 is about 2643.0406731641. The cubic root of 6985664 is about 191.1624395912.

The spelling of 6985664 in words is "six million, nine hundred eighty-five thousand, six hundred sixty-four".