86980 has 12 divisors (see below), whose sum is σ = 182700. Its totient is φ = 34784.

The previous prime is 86969. The next prime is 86981. The reversal of 86980 is 8968.

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 73984 = 114^2 + 272^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (86981) by changing a digit.

86980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2155 + ... + 2194.

It is an arithmetic number, because the mean of its divisors is an integer number (15225).

2⁸⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

86980 is an abundant number, since it is smaller than the sum of its proper divisors (95720).

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 (91350).

86980 is a wasteful number, since it uses less digits than its factorization.

86980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 86980 is about 294.9237189512. The cubic root of 86980 is about 44.3070805179.

It can be divided in two parts, 869 and 80, that added together give a palindrome (949).

The spelling of 86980 in words is "eighty-six thousand, nine hundred eighty".