4868864 has 144 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 1658880.

The previous prime is 4868861. The next prime is 4868869. The reversal of 4868864 is 4688684.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 4⁷ + 8⁵ + 6⁷ + 8⁵ + 8⁵ + 6⁷ + 4¹¹ .

It is not an unprimeable number, because it can be changed into a prime (4868861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256247 + ... + 256265.

Almost surely, 2^4868864 is an apocalyptic number.

4868864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

4868864 is an abundant number, since it is smaller than the sum of its proper divisors (8866816).

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

4868864 is a wasteful number, since it uses less digits than its factorization.

4868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 4868864 is about 2206.5502486914. The cubic root of 4868864 is about 169.4894022026.

It can be divided in two parts, 4 and 868864, that added together give a palindrome (868868).

The spelling of 4868864 in words is "four million, eight hundred sixty-eight thousand, eight hundred sixty-four".