86996 has 24 divisors (see below), whose sum is σ = 188160. Its totient is φ = 34272.

The previous prime is 86993. The next prime is 87011. The reversal of 86996 is 69968.

86996 = 7⁴ + 8⁴ + ... + 13⁴.

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 86996.

It is not an unprimeable number, because it can be changed into a prime (86993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

2⁸⁶⁹⁹⁶ 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 86996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

86996 is an abundant number, since it is smaller than the sum of its proper divisors (101164).

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

86996 is a wasteful number, since it uses less digits than its factorization.

86996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 86996 is about 294.9508433621. The cubic root of 86996 is about 44.3097971188.

The spelling of 86996 in words is "eighty-six thousand, nine hundred ninety-six".