86810 has 8 divisors (see below), whose sum is σ = 156276. Its totient is φ = 34720.

The previous prime is 86783. The next prime is 86813. The reversal of 86810 is 1868.

86810 = T₁₀₀ + T₁₀₁ + ... + T₁₁₄.

It can be written as a sum of positive squares in 2 ways, for example, as 85849 + 961 = 293^2 + 31^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×86810² = 15071952200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86813) by changing a digit.

86810 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4331 + ... + 4350.

2⁸⁶⁸¹⁰ is an apocalyptic number.

86810 is a deficient number, since it is larger than the sum of its proper divisors (69466).

86810 is a wasteful number, since it uses less digits than its factorization.

86810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 86810 is about 294.6353678702. The cubic root of 86810 is about 44.2781960380.

It can be divided in two parts, 868 and 10, that added together give a palindrome (878).

The spelling of 86810 in words is "eighty-six thousand, eight hundred ten".