4766688 has 72 divisors (see below), whose sum is σ = 14080248. Its totient is φ = 1586304.

The previous prime is 4766651. The next prime is 4766689. The reversal of 4766688 is 8866674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766689) 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 in 11 ways as a sum of consecutive naturals, for example, 7470 + ... + 8082.

It is an arithmetic number, because the mean of its divisors is an integer number (195559).

Almost surely, 2^4766688 is an apocalyptic number.

4766688 is a gapful number since it is divisible by the number (48) 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 4766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040124).

4766688 is an abundant number, since it is smaller than the sum of its proper divisors (9313560).

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

4766688 is an equidigital number, since it uses as much as digits as its factorization.

4766688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4766688 is about 2183.2746048081. The cubic root of 4766688 is about 168.2953986560.

The spelling of 4766688 in words is "four million, seven hundred sixty-six thousand, six hundred eighty-eight".