86848 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 40832.

The previous prime is 86843. The next prime is 86851. The reversal of 86848 is 84868.

86848 = T₃₇ + T₃₈ + ... + T₈₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86843) 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, 1443 + ... + 1501.

2⁸⁶⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

86848 is an abundant number, since it is smaller than the sum of its proper divisors (96032).

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

86848 is a wasteful number, since it uses less digits than its factorization.

86848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 86848 is about 294.6998473023. The cubic root of 86848 is about 44.2846558391.

The spelling of 86848 in words is "eighty-six thousand, eight hundred forty-eight".