4864 has 18 divisors (see below), whose sum is σ = 10220.
Its totient is φ = 2304.
The previous prime is 4861. The next prime is 4871. The reversal of 4864 is 4684.
Subtracting from 4864 its product of digits (768), we obtain a 12-th power (4096 = 212).
It can be divided in two parts, 4 and 864, that added together give a palindrome (868).
It is not an unprimeable number, because it can be changed into a prime (4861) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 247 + ... + 265.
24864 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 4864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110).
4864 is an abundant number, since it is smaller than the sum of its proper divisors (5356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4864 is an equidigital number, since it uses as much as digits as its factorization.
4864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35 (or 21 counting only the distinct ones).
The product of its digits is 768, while the sum is 22.
The square root of 4864 is about 69.7423830967.
The cubic root of 4864 is about 16.9432943370.
The spelling of 4864 in words is "four thousand, eight hundred sixty-four".