6641664 has 96 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2072576.

The previous prime is 6641633. The next prime is 6641669. The reversal of 6641664 is 4661466.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6641664³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6641669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141289 + ... + 141335.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^6641664 is an apocalyptic number.

6641664 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 6641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

6641664 is an abundant number, since it is smaller than the sum of its proper divisors (12228096).

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

6641664 is a wasteful number, since it uses less digits than its factorization.

6641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 6641664 is about 2577.1426037377. The cubic root of 6641664 is about 187.9716269238.

The spelling of 6641664 in words is "six million, six hundred forty-one thousand, six hundred sixty-four".