83659664 has 80 divisors (see below), whose sum is σ = 188291520. Its totient is φ = 35642880.

The previous prime is 83659651. The next prime is 83659673. The reversal of 83659664 is 46695638.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188627 + ... + 189069.

It is an arithmetic number, because the mean of its divisors is an integer number (2353644).

Almost surely, 2^83659664 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 83659664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94145760).

83659664 is an abundant number, since it is smaller than the sum of its proper divisors (104631856).

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

83659664 is a wasteful number, since it uses less digits than its factorization.

83659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 83659664 is about 9146.5656942920. The cubic root of 83659664 is about 437.3596419414.

The spelling of 83659664 in words is "eighty-three million, six hundred fifty-nine thousand, six hundred sixty-four".