86520 has 64 divisors (see below), whose sum is σ = 299520. Its totient is φ = 19584.

The previous prime is 86509. The next prime is 86531. The reversal of 86520 is 2568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86509) and next prime (86531).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 86520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2^{86520} 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 86520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

86520 is an abundant number, since it is smaller than the sum of its proper divisors (213000).

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

86520 is a wasteful number, since it uses less digits than its factorization.

86520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 86520 is about 294.1428224520. The cubic root of 86520 is about 44.2288353573.

It can be divided in two parts, 86 and 520, that added together give a palindrome (606).

The spelling of 86520 in words is "eighty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 721 824 840 1030 1236 1442 1545 2060 2163 2472 2884 3090 3605 4120 4326 5768 6180 7210 8652 10815 12360 14420 17304 21630 28840 43260 86520

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