86785664 has 96 divisors (see below), whose sum is σ = 204594660. Its totient is φ = 36556800.

The previous prime is 86785651. The next prime is 86785669. The reversal of 86785664 is 46658768.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77299264 + 9486400 = 8792^2 + 3080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86785669) 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, 633404 + ... + 633540.

Almost surely, 2^86785664 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 86785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102297330).

86785664 is an abundant number, since it is smaller than the sum of its proper divisors (117808996).

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

86785664 is a wasteful number, since it uses less digits than its factorization.

86785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The square root of 86785664 is about 9315.8823521983. The cubic root of 86785664 is about 442.7405805513.

The spelling of 86785664 in words is "eighty-six million, seven hundred eighty-five thousand, six hundred sixty-four".