86790 has 32 divisors (see below), whose sum is σ = 228096. Its totient is φ = 20960.

The previous prime is 86783. The next prime is 86813. The reversal of 86790 is 9768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (7128).

2⁸⁶⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048).

86790 is an abundant number, since it is smaller than the sum of its proper divisors (141306).

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

86790 is a wasteful number, since it uses less digits than its factorization.

86790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 86790 is about 294.6014256585. The cubic root of 86790 is about 44.2747953855.

The spelling of 86790 in words is "eighty-six thousand, seven hundred ninety".