4688864 has 12 divisors (see below), whose sum is σ = 9231264. Its totient is φ = 2344416.

The previous prime is 4688813. The next prime is 4688867.

4688864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4688864² = 43970891220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73232 + ... + 73295.

It is an arithmetic number, because the mean of its divisors is an integer number (769272).

Almost surely, 2^4688864 is an apocalyptic number.

It is an amenable number.

4688864 is a deficient number, since it is larger than the sum of its proper divisors (4542400).

4688864 is a wasteful number, since it uses less digits than its factorization.

4688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146537 (or 146529 counting only the distinct ones).

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

The square root of 4688864 is about 2165.3784888559. The cubic root of 4688864 is about 167.3744689515.

The spelling of 4688864 in words is "four million, six hundred eighty-eight thousand, eight hundred sixty-four".