86686560 has 144 divisors (see below), whose sum is σ = 303999696. Its totient is φ = 22477824.

The previous prime is 86686559. The next prime is 86686573. The reversal of 86686560 is 6568668.

86686560 is a `hidden beast` number, since 8 + 6 + 6 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 52467 + ... + 54093.

It is an arithmetic number, because the mean of its divisors is an integer number (2111109).

Almost surely, 2^86686560 is an apocalyptic number.

86686560 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 86686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151999848).

86686560 is an abundant number, since it is smaller than the sum of its proper divisors (217313136).

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

86686560 is a wasteful number, since it uses less digits than its factorization.

86686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 86686560 is about 9310.5617445995. The cubic root of 86686560 is about 442.5719886708.

The spelling of 86686560 in words is "eighty-six million, six hundred eighty-six thousand, five hundred sixty".