4704768 has 60 divisors (see below), whose sum is σ = 13591578. Its totient is φ = 1566720.

The previous prime is 4704751. The next prime is 4704769. The reversal of 4704768 is 8674074.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3873024 + 831744 = 1968^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4704769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4098 + ... + 5118.

Almost surely, 2^4704768 is an apocalyptic number.

4704768 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 4704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795789).

4704768 is an abundant number, since it is smaller than the sum of its proper divisors (8886810).

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

4704768 is a wasteful number, since it uses less digits than its factorization.

4704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4704768 is about 2169.0477173174. The cubic root of 4704768 is about 167.5634926740.

The spelling of 4704768 in words is "four million, seven hundred four thousand, seven hundred sixty-eight".