86101180 has 72 divisors (see below), whose sum is σ = 203241024. Its totient is φ = 30602880.

The previous prime is 86101163. The next prime is 86101193. The reversal of 86101180 is 8110168.

86101180 = T₂₉₉ + T₃₀₀ + ... + T₈₁₅.

It is a happy number.

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, 113362 + ... + 114118.

It is an arithmetic number, because the mean of its divisors is an integer number (2822792).

Almost surely, 2^86101180 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 86101180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101620512).

86101180 is an abundant number, since it is smaller than the sum of its proper divisors (117139844).

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

86101180 is a wasteful number, since it uses less digits than its factorization.

86101180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

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

The square root of 86101180 is about 9279.0721518910. The cubic root of 86101180 is about 441.5735326743.

The spelling of 86101180 in words is "eighty-six million, one hundred one thousand, one hundred eighty".