86816 has 12 divisors (see below), whose sum is σ = 170982. Its totient is φ = 43392.

The previous prime is 86813. The next prime is 86837. The reversal of 86816 is 61868.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 38416 = 220^2 + 196^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86816.

It is not an unprimeable number, because it can be changed into a prime (86813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1325 + ... + 1388.

2⁸⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

86816 is a deficient number, since it is larger than the sum of its proper divisors (84166).

86816 is a wasteful number, since it uses less digits than its factorization.

86816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2715 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 86816 is about 294.6455497712. The cubic root of 86816 is about 44.2792161319.

The spelling of 86816 in words is "eighty-six thousand, eight hundred sixteen".