86488116 has 72 divisors (see below), whose sum is σ = 238450464. Its totient is φ = 24186240.

The previous prime is 86488099. The next prime is 86488117. The reversal of 86488116 is 61188468.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86488117) 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 23 ways as a sum of consecutive naturals, for example, 20370 + ... + 24246.

It is an arithmetic number, because the mean of its divisors is an integer number (3311812).

Almost surely, 2^86488116 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 86488116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119225232).

86488116 is an abundant number, since it is smaller than the sum of its proper divisors (151962348).

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

86488116 is a wasteful number, since it uses less digits than its factorization.

86488116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3906 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 86488116 is about 9299.8987091258. The cubic root of 86488116 is about 442.2340167931.

The spelling of 86488116 in words is "eighty-six million, four hundred eighty-eight thousand, one hundred sixteen".