86870 has 32 divisors (see below), whose sum is σ = 191808. Its totient is φ = 27648.

The previous prime is 86869. The next prime is 86923. The reversal of 86870 is 7868.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (5994).

2⁸⁶⁸⁷⁰ is an apocalyptic number.

86870 is an abundant number, since it is smaller than the sum of its proper divisors (104938).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95904).

86870 is a wasteful number, since it uses less digits than its factorization.

86870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 86870 is about 294.7371710524. The cubic root of 86870 is about 44.2883948628.

The spelling of 86870 in words is "eighty-six thousand, eight hundred seventy".