86736 has 40 divisors (see below), whose sum is σ = 243040. Its totient is φ = 26496.

The previous prime is 86729. The next prime is 86743. The reversal of 86736 is 63768.

86736 is a nontrivial binomial coefficient, being equal to C(417, 2).

It is an interprime number because it is at equal distance from previous prime (86729) and next prime (86743).

It is a congruent number.

It is an unprimeable number.

86736 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, 555 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2⁸⁶⁷³⁶ is an apocalyptic number.

86736 is the 416-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520).

86736 is an abundant number, since it is smaller than the sum of its proper divisors (156304).

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

86736 is a wasteful number, since it uses less digits than its factorization.

86736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 86736 is about 294.5097621472. The cubic root of 86736 is about 44.2656110134.

It can be divided in two parts, 867 and 36, that added together give a triangular number (903 = T₄₂).

The spelling of 86736 in words is "eighty-six thousand, seven hundred thirty-six".