86720 has 28 divisors (see below), whose sum is σ = 207264. Its totient is φ = 34560.

The previous prime is 86719. The next prime is 86729. The reversal of 86720 is 2768.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86720.

It is not an unprimeable number, because it can be changed into a prime (86729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185 + ... + 455.

2⁸⁶⁷²⁰ is an apocalyptic number.

86720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632).

86720 is an abundant number, since it is smaller than the sum of its proper divisors (120544).

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

86720 is a wasteful number, since it uses less digits than its factorization.

86720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 86720 is about 294.4825971089. The cubic root of 86720 is about 44.2628889859.

The spelling of 86720 in words is "eighty-six thousand, seven hundred twenty".