86818560 has 144 divisors (see below), whose sum is σ = 289626624. Its totient is φ = 22122496.

The previous prime is 86818549. The next prime is 86818561. The reversal of 86818560 is 6581868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86818561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87829 + ... + 88811.

It is an arithmetic number, because the mean of its divisors is an integer number (2011296).

Almost surely, 2^86818560 is an apocalyptic number.

86818560 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 86818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144813312).

86818560 is an abundant number, since it is smaller than the sum of its proper divisors (202808064).

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

86818560 is a wasteful number, since it uses less digits than its factorization.

86818560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 86818560 is about 9317.6477718360. The cubic root of 86818560 is about 442.7965135770.

It can be divided in two parts, 86818 and 560, that added together give a palindrome (87378).

The spelling of 86818560 in words is "eighty-six million, eight hundred eighteen thousand, five hundred sixty".