86730 has 48 divisors (see below), whose sum is σ = 246240. Its totient is φ = 19488.

The previous prime is 86729. The next prime is 86743. The reversal of 86730 is 3768.

It is a self number, because there is not a number n which added to its sum of digits gives 86730.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1441 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁸⁶⁷³⁰ is an apocalyptic number.

It is a pronic number, being equal to 294×295.

It is a practical number, because each smaller number is the sum of distinct divisors of 86730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

86730 is an abundant number, since it is smaller than the sum of its proper divisors (159510).

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

86730 is a wasteful number, since it uses less digits than its factorization.

86730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 86730 is about 294.4995755515. The cubic root of 86730 is about 44.2645902923.

The spelling of 86730 in words is "eighty-six thousand, seven hundred thirty".