86617664 has 112 divisors (see below), whose sum is σ = 208483200. Its totient is φ = 34922496.

The previous prime is 86617651. The next prime is 86617679. The reversal of 86617664 is 46671668.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 766472 + ... + 766584.

Almost surely, 2^86617664 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 86617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

86617664 is an abundant number, since it is smaller than the sum of its proper divisors (121865536).

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

86617664 is a wasteful number, since it uses less digits than its factorization.

86617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 86617664 is about 9306.8611249981. The cubic root of 86617664 is about 442.4547097401.

The spelling of 86617664 in words is "eighty-six million, six hundred seventeen thousand, six hundred sixty-four".