8864 has 12 divisors (see below), whose sum is σ = 17514. Its totient is φ = 4416.

The previous prime is 8863. The next prime is 8867. The reversal of 8864 is 4688.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 400 = 92^2 + 20^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8³ + 6⁵ + 8³ + 4³ .

It is a nialpdrome in base 10 and base 14.

It is not an unprimeable number, because it can be changed into a prime (8861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107 + ... + 170.

2⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

8864 is a deficient number, since it is larger than the sum of its proper divisors (8650).

8864 is a wasteful number, since it uses less digits than its factorization.

8864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 8864 is about 94.1488183675. The cubic root of 8864 is about 20.6955314088.

The spelling of 8864 in words is "eight thousand, eight hundred sixty-four".