4688896 has 44 divisors (see below), whose sum is σ = 9907480. Its totient is φ = 2211840.

The previous prime is 4688867. The next prime is 4688897. The reversal of 4688896 is 6988864.

It is not an unprimeable number, because it can be changed into a prime (4688897) 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 3 ways as a sum of consecutive naturals, for example, 19336 + ... + 19576.

It is an arithmetic number, because the mean of its divisors is an integer number (225170).

Almost surely, 2^4688896 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 4688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953740).

4688896 is an abundant number, since it is smaller than the sum of its proper divisors (5218584).

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

4688896 is a wasteful number, since it uses less digits than its factorization.

4688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 4688896 is about 2165.3858778518. The cubic root of 4688896 is about 167.3748497097.

Subtracting 4688896 from its reverse (6988864), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 4 and 688896, that added together give a square (688900 = 830²).

The spelling of 4688896 in words is "four million, six hundred eighty-eight thousand, eight hundred ninety-six".