86880 has 48 divisors (see below), whose sum is σ = 275184. Its totient is φ = 23040.

The previous prime is 86869. The next prime is 86923. The reversal of 86880 is 8868.

It is a tau number, because it is divible by the number of its divisors (48).

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.

86880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 390 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁸⁶⁸⁸⁰ is an apocalyptic number.

86880 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 86880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

86880 is an abundant number, since it is smaller than the sum of its proper divisors (188304).

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

86880 is a wasteful number, since it uses less digits than its factorization.

86880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 86880 is about 294.7541348310. The cubic root of 86880 is about 44.2900942103.

The spelling of 86880 in words is "eighty-six thousand, eight hundred eighty".