86964 has 12 divisors (see below), whose sum is σ = 202944. Its totient is φ = 28984.

The previous prime is 86959. The next prime is 86969. The reversal of 86964 is 46968.

It is an interprime number because it is at equal distance from previous prime (86959) and next prime (86969).

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86969) by changing a digit.

86964 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, 3612 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (16912).

2⁸⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

86964 is an abundant number, since it is smaller than the sum of its proper divisors (115980).

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 (101472).

86964 is a wasteful number, since it uses less digits than its factorization.

86964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7252 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 86964 is about 294.8965920454. The cubic root of 86964 is about 44.3043635839.

The spelling of 86964 in words is "eighty-six thousand, nine hundred sixty-four".