86111080 has 128 divisors (see below), whose sum is σ = 225607680. Its totient is φ = 29272320.

The previous prime is 86111041. The next prime is 86111083. The reversal of 86111080 is 8011168.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86111083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 677977 + ... + 678103.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 2^86111080 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 86111080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112803840).

86111080 is an abundant number, since it is smaller than the sum of its proper divisors (139496600).

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

86111080 is a wasteful number, since it uses less digits than its factorization.

86111080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 86111080 is about 9279.6055950671. The cubic root of 86111080 is about 441.5904562148.

The spelling of 86111080 in words is "eighty-six million, one hundred eleven thousand, eighty".