86686080 has 256 divisors, whose sum is σ = 312560640. Its totient is φ = 20275200.

The previous prime is 86686073. The next prime is 86686081. The reversal of 86686080 is 8068668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86686081) 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 31 ways as a sum of consecutive naturals, for example, 574005 + ... + 574155.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^86686080 is an apocalyptic number.

86686080 is a gapful number since it is divisible by the number (80) 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 86686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

86686080 is an abundant number, since it is smaller than the sum of its proper divisors (225874560).

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

86686080 is a wasteful number, since it uses less digits than its factorization.

86686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 86686080 is about 9310.5359673866. The cubic root of 86686080 is about 442.5711718008.

The spelling of 86686080 in words is "eighty-six million, six hundred eighty-six thousand, eighty".