86748 has 12 divisors (see below), whose sum is σ = 202440. Its totient is φ = 28912.

The previous prime is 86743. The next prime is 86753. The reversal of 86748 is 84768.

It is an interprime number because it is at equal distance from previous prime (86743) and next prime (86753).

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86743) 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, 3603 + ... + 3626.

It is an arithmetic number, because the mean of its divisors is an integer number (16870).

2⁸⁶⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

86748 is an abundant number, since it is smaller than the sum of its proper divisors (115692).

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 (101220).

86748 is a wasteful number, since it uses less digits than its factorization.

86748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7234 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 86748 is about 294.5301342817. The cubic root of 86748 is about 44.2676523143.

It can be divided in two parts, 867 and 48, that multiplied together give a triangular number (41616 = T₂₈₈).

The spelling of 86748 in words is "eighty-six thousand, seven hundred forty-eight".