86376 has 32 divisors (see below), whose sum is σ = 223200. Its totient is φ = 27840.

The previous prime is 86371. The next prime is 86381. The reversal of 86376 is 67368.

It is an interprime number because it is at equal distance from previous prime (86371) and next prime (86381).

It is a super-3 number, since 3×86376³ = 1933305648496128, which contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86376.

It is not an unprimeable number, because it can be changed into a prime (86371) by changing a digit.

86376 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, 1386 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (6975).

2⁸⁶³⁷⁶ 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 86376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

86376 is an abundant number, since it is smaller than the sum of its proper divisors (136824).

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

86376 is a wasteful number, since it uses less digits than its factorization.

86376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

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

The square root of 86376 is about 293.8979414695. The cubic root of 86376 is about 44.2042842363.

It can be divided in two parts, 863 and 76, that added together give a palindrome (939).

The spelling of 86376 in words is "eighty-six thousand, three hundred seventy-six".