86659840 has 72 divisors (see below), whose sum is σ = 210450240. Its totient is φ = 34185216.

The previous prime is 86659799. The next prime is 86659843. The reversal of 86659840 is 4895668.

It is not an unprimeable number, because it can be changed into a prime (86659843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100692 + ... + 101548.

It is an arithmetic number, because the mean of its divisors is an integer number (2922920).

Almost surely, 2^86659840 is an apocalyptic number.

86659840 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 86659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105225120).

86659840 is an abundant number, since it is smaller than the sum of its proper divisors (123790400).

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

86659840 is an equidigital number, since it uses as much as digits as its factorization.

86659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 86659840 is about 9309.1267044766. The cubic root of 86659840 is about 442.5265116528.

It can be divided in two parts, 866 and 59840, that added together give a palindrome (60706).

The spelling of 86659840 in words is "eighty-six million, six hundred fifty-nine thousand, eight hundred forty".