86810010 has 64 divisors (see below), whose sum is σ = 239715072. Its totient is φ = 19708416.

The previous prime is 86809999. The next prime is 86810011. The reversal of 86810010 is 1001868.

It is not an unprimeable number, because it can be changed into a prime (86810011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31654 + ... + 34286.

It is an arithmetic number, because the mean of its divisors is an integer number (3745548).

Almost surely, 2^86810010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86810010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119857536).

86810010 is an abundant number, since it is smaller than the sum of its proper divisors (152905062).

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

86810010 is a wasteful number, since it uses less digits than its factorization.

86810010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 86810010 is about 9317.1889537564. The cubic root of 86810010 is about 442.7819773822.

Adding to 86810010 its reverse (1001868), we get a palindrome (87811878).

It can be divided in two parts, 868 and 10010, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 86810010 in words is "eighty-six million, eight hundred ten thousand, ten".