8201664 has 84 divisors (see below), whose sum is σ = 24368760. Its totient is φ = 2634240.

The previous prime is 8201663. The next prime is 8201689. The reversal of 8201664 is 4661028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201663) 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, 16459 + ... + 16949.

Almost surely, 2^8201664 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 8201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184380).

8201664 is an abundant number, since it is smaller than the sum of its proper divisors (16167096).

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

8201664 is a wasteful number, since it uses less digits than its factorization.

8201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8201664 is about 2863.8547449199. The cubic root of 8201664 is about 201.6666068650. Note that the first 4 decimals are identical.

The spelling of 8201664 in words is "eight million, two hundred one thousand, six hundred sixty-four".